457634052 has 18 divisors (see below), whose sum is σ = 1156797278. Its totient is φ = 152544672.

The previous prime is 457634041. The next prime is 457634077. The reversal of 457634052 is 250436754.

457634052 is a `hidden beast` number, since 4 + 576 + 34 + 0 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 256448196 + 201185856 = 16014^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12712057 = 457634052 / (4 + 5 + 7 + 6 + 3 + 4 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 457633998 and 457634016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6355993 + ... + 6356064.

Almost surely, 2^457634052 is an apocalyptic number.

It is an amenable number.

457634052 is an abundant number, since it is smaller than the sum of its proper divisors (699163226).

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

457634052 is a wasteful number, since it uses less digits than its factorization.

457634052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712067 (or 12712062 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 457634052 is about 21392.3830369597. The cubic root of 457634052 is about 770.6185236539.

The spelling of 457634052 in words is "four hundred fifty-seven million, six hundred thirty-four thousand, fifty-two".