3051456480 has 288 divisors, whose sum is σ = 11384126208. Its totient is φ = 740966400.

The previous prime is 3051456467. The next prime is 3051456481. The reversal of 3051456480 is 846541503.

It is a happy number.

3051456480 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 4 + 5 + 648 + 0 = 666.

3051456480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3051456480² = 18622773298667980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3051456481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756870 + ... + 760890.

It is an arithmetic number, because the mean of its divisors is an integer number (39528216).

Almost surely, 2^3051456480 is an apocalyptic number.

3051456480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3051456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692063104).

3051456480 is an abundant number, since it is smaller than the sum of its proper divisors (8332669728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3051456480 is a wasteful number, since it uses less digits than its factorization.

3051456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3051456480 is about 55239.9898624176. The cubic root of 3051456480 is about 1450.4487679511.

Adding to 3051456480 its reverse (846541503), we get a palindrome (3897997983).

The spelling of 3051456480 in words is "three billion, fifty-one million, four hundred fifty-six thousand, four hundred eighty".