456506052 has 24 divisors (see below), whose sum is σ = 1101912000. Its totient is φ = 146921376.

The previous prime is 456506021. The next prime is 456506077. The reversal of 456506052 is 250605654.

It is a happy number.

It is a super-4 number, since 4×456506052⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655552 + ... + 656247.

It is an arithmetic number, because the mean of its divisors is an integer number (45913000).

Almost surely, 2^456506052 is an apocalyptic number.

It is an amenable number.

456506052 is an abundant number, since it is smaller than the sum of its proper divisors (645405948).

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

456506052 is a wasteful number, since it uses less digits than its factorization.

456506052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311835 (or 1311833 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 456506052 is about 21366.0022465598. The cubic root of 456506052 is about 769.9848493112.

The spelling of 456506052 in words is "four hundred fifty-six million, five hundred six thousand, fifty-two".