457197802920 has 672 divisors, whose sum is σ = 1641879898200. Its totient is φ = 114350745600.

The previous prime is 457197802837. The next prime is 457197802931. The reversal of 457197802920 is 29208791754.

457197802920 is a `hidden beast` number, since 457 + 1 + 97 + 80 + 2 + 9 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 337795764804 + 119402038116 = 581202^2 + 345546^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4526710870 + ... + 4526710970.

Almost surely, 2^457197802920 is an apocalyptic number.

457197802920 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 457197802920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820939949100).

457197802920 is an abundant number, since it is smaller than the sum of its proper divisors (1184682095280).

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

457197802920 is a wasteful number, since it uses less digits than its factorization.

457197802920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 457197802920 in words is "four hundred fifty-seven billion, one hundred ninety-seven million, eight hundred two thousand, nine hundred twenty".