465768672 has 48 divisors (see below), whose sum is σ = 1242701712. Its totient is φ = 152709120.

The previous prime is 465768659. The next prime is 465768701. The reversal of 465768672 is 276867564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 33913 + ... + 45624.

It is an arithmetic number, because the mean of its divisors is an integer number (25889619).

Almost surely, 2^465768672 is an apocalyptic number.

It is an amenable number.

465768672 is an abundant number, since it is smaller than the sum of its proper divisors (776933040).

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

465768672 is a wasteful number, since it uses less digits than its factorization.

465768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79611 (or 79603 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 465768672 is about 21581.6744484760. The cubic root of 465768672 is about 775.1577463148.

The spelling of 465768672 in words is "four hundred sixty-five million, seven hundred sixty-eight thousand, six hundred seventy-two".