457742215920 has 120 divisors (see below), whose sum is σ = 1559728327248. Its totient is φ = 110967802880.

The previous prime is 457742215919. The next prime is 457742215943. The reversal of 457742215920 is 29512247754.

It is a tau number, because it is divible by the number of its divisors (120).

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 457742215920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7852197 + ... + 7910276.

Almost surely, 2^457742215920 is an apocalyptic number.

457742215920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457742215920 is an abundant number, since it is smaller than the sum of its proper divisors (1101986111328).

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

457742215920 is a wasteful number, since it uses less digits than its factorization.

457742215920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15762511 (or 15762494 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 457742215920 in words is "four hundred fifty-seven billion, seven hundred forty-two million, two hundred fifteen thousand, nine hundred twenty".