464643872 has 216 divisors, whose sum is σ = 1222663680. Its totient is φ = 172972800.

The previous prime is 464643869. The next prime is 464643889. The reversal of 464643872 is 278346464.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5881529 + ... + 5881607.

It is an arithmetic number, because the mean of its divisors is an integer number (5660480).

Almost surely, 2^464643872 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 464643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331840).

464643872 is an abundant number, since it is smaller than the sum of its proper divisors (758019808).

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

464643872 is a wasteful number, since it uses less digits than its factorization.

464643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The square root of 464643872 is about 21555.5995509288. The cubic root of 464643872 is about 774.5332587480.

The spelling of 464643872 in words is "four hundred sixty-four million, six hundred forty-three thousand, eight hundred seventy-two".