464468472 has 128 divisors (see below), whose sum is σ = 1397088000. Its totient is φ = 142128000.

The previous prime is 464468453. The next prime is 464468479. The reversal of 464468472 is 274864464.

464468472 is a `hidden beast` number, since 464 + 46 + 84 + 72 = 666.

It is a super-2 number, since 2×464468472² = 431461922964029568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464468479) 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 31 ways as a sum of consecutive naturals, for example, 704479 + ... + 705137.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2^464468472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464468472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544000).

464468472 is an abundant number, since it is smaller than the sum of its proper divisors (932619528).

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

464468472 is a wasteful number, since it uses less digits than its factorization.

464468472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 464468472 is about 21551.5306184967. The cubic root of 464468472 is about 774.4357860813.

The spelling of 464468472 in words is "four hundred sixty-four million, four hundred sixty-eight thousand, four hundred seventy-two".