457250172120 has 512 divisors, whose sum is σ = 1792627200000. Its totient is φ = 101482647552.

The previous prime is 457250172109. The next prime is 457250172173. The reversal of 457250172120 is 21271052754.

457250172120 is a `hidden beast` number, since 4 + 5 + 72 + 501 + 72 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167550916 + ... + 167553644.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225000).

Almost surely, 2^457250172120 is an apocalyptic number.

457250172120 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 457250172120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600000).

457250172120 is an abundant number, since it is smaller than the sum of its proper divisors (1335377027880).

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

457250172120 is a wasteful number, since it uses less digits than its factorization.

457250172120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 457250172120 in words is "four hundred fifty-seven billion, two hundred fifty million, one hundred seventy-two thousand, one hundred twenty".