457676334344700 has 144 divisors (see below), whose sum is σ = 1474665983669760. Its totient is φ = 121771520994240.

The previous prime is 457676334344633. The next prime is 457676334344731. The reversal of 457676334344700 is 7443433676754.

457676334344700 is a `hidden beast` number, since 4 + 5 + 7 + 67 + 63 + 3 + 43 + 4 + 470 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190124164 + ... + 192516363.

Almost surely, 2^{457676334344700} is an apocalyptic number.

It is an amenable number.

457676334344700 is an abundant number, since it is smaller than the sum of its proper divisors (1016989649325060).

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

457676334344700 is a wasteful number, since it uses less digits than its factorization.

457676334344700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382640993 (or 382640980 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 63.

The spelling of 457676334344700 in words is "four hundred fifty-seven trillion, six hundred seventy-six billion, three hundred thirty-four million, three hundred forty-four thousand, seven hundred".