457406869920 has 2304 divisors, whose sum is σ = 2101643034624. Its totient is φ = 82059264000.

The previous prime is 457406869901. The next prime is 457406869943. The reversal of 457406869920 is 29968604754.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4274830507 + ... + 4274830613.

It is an arithmetic number, because the mean of its divisors is an integer number (912171456).

Almost surely, 2^457406869920 is an apocalyptic number.

457406869920 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 457406869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050821517312).

457406869920 is an abundant number, since it is smaller than the sum of its proper divisors (1644236164704).

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

457406869920 is a wasteful number, since it uses less digits than its factorization.

457406869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 457406869920 in words is "four hundred fifty-seven billion, four hundred six million, eight hundred sixty-nine thousand, nine hundred twenty".