457142732400 has 60 divisors (see below), whose sum is σ = 1464380556632. Its totient is φ = 121904728320.

The previous prime is 457142732383. The next prime is 457142732443. The reversal of 457142732400 is 4237241754.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×457142732400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190474939 + ... + 190477338.

Almost surely, 2^457142732400 is an apocalyptic number.

457142732400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457142732400 is an abundant number, since it is smaller than the sum of its proper divisors (1007237824232).

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

457142732400 is a wasteful number, since it uses less digits than its factorization.

457142732400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380952298 (or 380952287 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 457142732400 in words is "four hundred fifty-seven billion, one hundred forty-two million, seven hundred thirty-two thousand, four hundred".