451057609920 has 224 divisors, whose sum is σ = 1469653891776. Its totient is φ = 117139046400.

The previous prime is 451057609889. The next prime is 451057609931. The reversal of 451057609920 is 29906750154.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 451057609920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22700790 + ... + 22720650.

It is an arithmetic number, because the mean of its divisors is an integer number (6560954874).

Almost surely, 2^451057609920 is an apocalyptic number.

451057609920 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 451057609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734826945888).

451057609920 is an abundant number, since it is smaller than the sum of its proper divisors (1018596281856).

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

451057609920 is a wasteful number, since it uses less digits than its factorization.

451057609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20499 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 451057609920 in words is "four hundred fifty-one billion, fifty-seven million, six hundred nine thousand, nine hundred twenty".