464753952 has 72 divisors (see below), whose sum is σ = 1423320444. Its totient is φ = 143000064.

The previous prime is 464753951. The next prime is 464753957. The reversal of 464753952 is 259357464.

464753952 is a `hidden beast` number, since 4 + 64 + 7 + 539 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 442513296 + 22240656 = 21036^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 464753898 and 464753907.

It is not an unprimeable number, because it can be changed into a prime (464753951) 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, 58323 + ... + 65810.

Almost surely, 2^464753952 is an apocalyptic number.

It is an amenable number.

464753952 is an abundant number, since it is smaller than the sum of its proper divisors (958566492).

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

464753952 is a wasteful number, since it uses less digits than its factorization.

464753952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124162 (or 124151 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 464753952 is about 21558.1527965640. The cubic root of 464753952 is about 774.5944194878.

The spelling of 464753952 in words is "four hundred sixty-four million, seven hundred fifty-three thousand, nine hundred fifty-two".