457085357520 has 320 divisors, whose sum is σ = 1628227215360. Its totient is φ = 104906188800.

The previous prime is 457085357483. The next prime is 457085357567. The reversal of 457085357520 is 25753580754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129962802 + ... + 129966318.

It is an arithmetic number, because the mean of its divisors is an integer number (5088210048).

Almost surely, 2^457085357520 is an apocalyptic number.

457085357520 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 457085357520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814113607680).

457085357520 is an abundant number, since it is smaller than the sum of its proper divisors (1171141857840).

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

457085357520 is a wasteful number, since it uses less digits than its factorization.

457085357520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 51.

The spelling of 457085357520 in words is "four hundred fifty-seven billion, eighty-five million, three hundred fifty-seven thousand, five hundred twenty".