1464115460 has 48 divisors (see below), whose sum is σ = 3240745200. Its totient is φ = 554770944.

The previous prime is 1464115451. The next prime is 1464115483. The reversal of 1464115460 is 645114641.

It can be written as a sum of positive squares in 8 ways, for example, as 440896 + 1463674564 = 664^2 + 38258^2 .

It is a super-2 number, since 2×1464115460² = 4287268160422023200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6926 + ... + 54554.

It is an arithmetic number, because the mean of its divisors is an integer number (67515525).

Almost surely, 2^1464115460 is an apocalyptic number.

1464115460 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 1464115460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620372600).

1464115460 is an abundant number, since it is smaller than the sum of its proper divisors (1776629740).

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

1464115460 is a wasteful number, since it uses less digits than its factorization.

1464115460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47720 (or 47718 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1464115460 is about 38263.7617073910. The cubic root of 1464115460 is about 1135.5121237449.

The spelling of 1464115460 in words is "one billion, four hundred sixty-four million, one hundred fifteen thousand, four hundred sixty".