1464720960 has 112 divisors (see below), whose sum is σ = 4852757376. Its totient is φ = 373604352.

The previous prime is 1464720949. The next prime is 1464720977. The reversal of 1464720960 is 690274641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11089 + ... + 55248.

Almost surely, 2^1464720960 is an apocalyptic number.

1464720960 is a gapful number since it is divisible by the number (10) 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 1464720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426378688).

1464720960 is an abundant number, since it is smaller than the sum of its proper divisors (3388036416).

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

1464720960 is a wasteful number, since it uses less digits than its factorization.

1464720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66380 (or 66370 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1464720960 is about 38271.6730755268. The cubic root of 1464720960 is about 1135.6686364085.

The spelling of 1464720960 in words is "one billion, four hundred sixty-four million, seven hundred twenty thousand, nine hundred sixty".