457315928100 has 54 divisors (see below), whose sum is σ = 1433431373010. Its totient is φ = 121950913920.

The previous prime is 457315928081. The next prime is 457315928131. The reversal of 457315928100 is 1829513754.

457315928100 is a `hidden beast` number, since 4 + 57 + 3 + 1 + 592 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2427729984 + 454888198116 = 49272^2 + 674454^2 .

It is a super-2 number, since 2×457315928100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 254063505 + ... + 254065304.

Almost surely, 2^457315928100 is an apocalyptic number.

It is an amenable number.

457315928100 is an abundant number, since it is smaller than the sum of its proper divisors (976115444910).

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

457315928100 is a wasteful number, since it uses less digits than its factorization.

457315928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508128829 (or 508128819 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 457315928100 in words is "four hundred fifty-seven billion, three hundred fifteen million, nine hundred twenty-eight thousand, one hundred".