1451630880 has 288 divisors, whose sum is σ = 5778864000. Its totient is φ = 331688448.

The previous prime is 1451630863. The next prime is 1451630881. The reversal of 1451630880 is 880361541.

1451630880 is a `hidden beast` number, since 14 + 5 + 1 + 630 + 8 + 8 + 0 = 666.

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

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 (1451630881) 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, 492451 + ... + 495389.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 2^1451630880 is an apocalyptic number.

1451630880 is a gapful number since it is divisible by the number (10) 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 1451630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432000).

1451630880 is an abundant number, since it is smaller than the sum of its proper divisors (4327233120).

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

1451630880 is a wasteful number, since it uses less digits than its factorization.

1451630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1451630880 is about 38100.2740147627. The cubic root of 1451630880 is about 1132.2753848940.

The spelling of 1451630880 in words is "one billion, four hundred fifty-one million, six hundred thirty thousand, eight hundred eighty".