464238072 has 48 divisors (see below), whose sum is σ = 1311981840. Its totient is φ = 148017408.

The previous prime is 464238067. The next prime is 464238079. The reversal of 464238072 is 270832464.

464238072 is a `hidden beast` number, since 4 + 642 + 3 + 8 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464238079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138513 + ... + 141824.

It is an arithmetic number, because the mean of its divisors is an integer number (27332955).

Almost surely, 2^464238072 is an apocalyptic number.

It is an amenable number.

464238072 is an abundant number, since it is smaller than the sum of its proper divisors (847743768).

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

464238072 is a wasteful number, since it uses less digits than its factorization.

464238072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280372 (or 280365 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 464238072 is about 21546.1846274462. The cubic root of 464238072 is about 774.3077117143.

The spelling of 464238072 in words is "four hundred sixty-four million, two hundred thirty-eight thousand, seventy-two".