457020637920 has 576 divisors, whose sum is σ = 1985808254976. Its totient is φ = 92943728640.

The previous prime is 457020637837. The next prime is 457020637949. The reversal of 457020637920 is 29736020754.

457020637920 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 2 + 0 + 637 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5167512 + ... + 5255208.

It is an arithmetic number, because the mean of its divisors is an integer number (3447583776).

Almost surely, 2^457020637920 is an apocalyptic number.

457020637920 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 457020637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992904127488).

457020637920 is an abundant number, since it is smaller than the sum of its proper divisors (1528787617056).

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

457020637920 is a wasteful number, since it uses less digits than its factorization.

457020637920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87783 (or 87772 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 457020637920 in words is "four hundred fifty-seven billion, twenty million, six hundred thirty-seven thousand, nine hundred twenty".