1465104160 has 96 divisors (see below), whose sum is σ = 3779017200. Its totient is φ = 533495808.

The previous prime is 1465104139. The next prime is 1465104181. The reversal of 1465104160 is 614015641.

It is an interprime number because it is at equal distance from previous prime (1465104139) and next prime (1465104181).

It can be written as a sum of positive squares in 8 ways, for example, as 150896656 + 1314207504 = 12284^2 + 36252^2 .

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, 147016 + ... + 156664.

Almost surely, 2^1465104160 is an apocalyptic number.

1465104160 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 1465104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889508600).

1465104160 is an abundant number, since it is smaller than the sum of its proper divisors (2313913040).

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

1465104160 is a wasteful number, since it uses less digits than its factorization.

1465104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1465104160 is about 38276.6790617995. The cubic root of 1465104160 is about 1135.7676655723.

It can be divided in two parts, 1465 and 104160, that added together give a square (105625 = 325²).

The spelling of 1465104160 in words is "one billion, four hundred sixty-five million, one hundred four thousand, one hundred sixty".