464832480 has 192 divisors, whose sum is σ = 1719083520. Its totient is φ = 103348224.

The previous prime is 464832449. The next prime is 464832497. The reversal of 464832480 is 84238464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122451 + ... + 126189.

It is an arithmetic number, because the mean of its divisors is an integer number (8953560).

Almost surely, 2^464832480 is an apocalyptic number.

464832480 is a gapful number since it is divisible by the number (40) 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 464832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859541760).

464832480 is an abundant number, since it is smaller than the sum of its proper divisors (1254251040).

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

464832480 is a wasteful number, since it uses less digits than its factorization.

464832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 464832480 is about 21559.9740259584. The cubic root of 464832480 is about 774.6380439509.

It can be divided in two parts, 4648 and 32480, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 464832480 in words is "four hundred sixty-four million, eight hundred thirty-two thousand, four hundred eighty".