456302072 has 8 divisors (see below), whose sum is σ = 855566400. Its totient is φ = 228151032.

The previous prime is 456302053. The next prime is 456302089. The reversal of 456302072 is 270203654.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×456302072² = 416423161822986368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28518872 + ... + 28518887.

It is an arithmetic number, because the mean of its divisors is an integer number (106945800).

Almost surely, 2^456302072 is an apocalyptic number.

It is an amenable number.

456302072 is a deficient number, since it is larger than the sum of its proper divisors (399264328).

456302072 is a wasteful number, since it uses less digits than its factorization.

456302072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57037765 (or 57037761 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 456302072 is about 21361.2282418404. The cubic root of 456302072 is about 769.8701484524.

The spelling of 456302072 in words is "four hundred fifty-six million, three hundred two thousand, seventy-two".