464943360 has 288 divisors, whose sum is σ = 1736582400. Its totient is φ = 105971712.

The previous prime is 464943343. The next prime is 464943373. The reversal of 464943360 is 63349464.

It is a happy number.

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, 1316944 + ... + 1317296.

It is an arithmetic number, because the mean of its divisors is an integer number (6029800).

Almost surely, 2^464943360 is an apocalyptic number.

464943360 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 464943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868291200).

464943360 is an abundant number, since it is smaller than the sum of its proper divisors (1271639040).

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

464943360 is an equidigital number, since it uses as much as digits as its factorization.

464943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 464943360 is about 21562.5453043002. The cubic root of 464943360 is about 774.6996324740.

The spelling of 464943360 in words is "four hundred sixty-four million, nine hundred forty-three thousand, three hundred sixty".