4734456480 has 1152 divisors, whose sum is σ = 20803910400. Its totient is φ = 1003290624.

The previous prime is 4734456479. The next prime is 4734456481. The reversal of 4734456480 is 846544374.

4734456480 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 4 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4734456479) and next prime (4734456481).

It is a super-2 number, since 2×4734456480² = 44830156322027980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4734456481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163257106 + ... + 163257134.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 2^4734456480 is an apocalyptic number.

4734456480 is a gapful number since it is divisible by the number (40) 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 4734456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401955200).

4734456480 is an abundant number, since it is smaller than the sum of its proper divisors (16069453920).

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

4734456480 is a wasteful number, since it uses less digits than its factorization.

4734456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 4734456480 is about 68807.3868127543. The cubic root of 4734456480 is about 1679.1521231786.

The spelling of 4734456480 in words is "four billion, seven hundred thirty-four million, four hundred fifty-six thousand, four hundred eighty".