457763652 has 36 divisors (see below), whose sum is σ = 1158935596. Its totient is φ = 152349120.

The previous prime is 457763651. The next prime is 457763653. The reversal of 457763652 is 256367754.

457763652 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 636 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (457763651) and next prime (457763653).

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 254530116 = 14256^2 + 15954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×457763652² = 419095122184754208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 457763598 and 457763607.

It is not an unprimeable number, because it can be changed into a prime (457763651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14178 + ... + 33414.

Almost surely, 2^457763652 is an apocalyptic number.

It is an amenable number.

457763652 is an abundant number, since it is smaller than the sum of its proper divisors (701171944).

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

457763652 is a wasteful number, since it uses less digits than its factorization.

457763652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19903 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 457763652 is about 21395.4119380768. The cubic root of 457763652 is about 770.6912620744.

The spelling of 457763652 in words is "four hundred fifty-seven million, seven hundred sixty-three thousand, six hundred fifty-two".