464772672 has 168 divisors, whose sum is σ = 1639799616. Its totient is φ = 122563584.

The previous prime is 464772653. The next prime is 464772689. The reversal of 464772672 is 276277464.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47983 + ... + 56849.

It is an arithmetic number, because the mean of its divisors is an integer number (9760712).

Almost surely, 2^464772672 is an apocalyptic number.

464772672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819899808).

464772672 is an abundant number, since it is smaller than the sum of its proper divisors (1175026944).

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

464772672 is a wasteful number, since it uses less digits than its factorization.

464772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8892 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 464772672 is about 21558.5869666822. The cubic root of 464772672 is about 774.6048194086.

The spelling of 464772672 in words is "four hundred sixty-four million, seven hundred seventy-two thousand, six hundred seventy-two".