1465416260 has 96 divisors (see below), whose sum is σ = 3930474240. Its totient is φ = 445593600.

The previous prime is 1465416259. The next prime is 1465416317. The reversal of 1465416260 is 626145641.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1465416260.

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, 51536 + ... + 74744.

It is an arithmetic number, because the mean of its divisors is an integer number (40942440).

Almost surely, 2^1465416260 is an apocalyptic number.

1465416260 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 1465416260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965237120).

1465416260 is an abundant number, since it is smaller than the sum of its proper divisors (2465057980).

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

1465416260 is a wasteful number, since it uses less digits than its factorization.

1465416260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23277 (or 23275 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 1465416260 is about 38280.7557396664. The cubic root of 1465416260 is about 1135.8483078299.

The spelling of 1465416260 in words is "one billion, four hundred sixty-five million, four hundred sixteen thousand, two hundred sixty".