25464960 has 96 divisors (see below), whose sum is σ = 87953580. Its totient is φ = 6789120.

The previous prime is 25464953. The next prime is 25464973. The reversal of 25464960 is 6946452.

25464960 is a `hidden beast` number, since 2 + 5 + 4 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 304704 = 5016^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3550 + ... + 7970.

Almost surely, 2^25464960 is an apocalyptic number.

25464960 is a gapful number since it is divisible by the number (20) 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 25464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43976790).

25464960 is an abundant number, since it is smaller than the sum of its proper divisors (62488620).

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

25464960 is a wasteful number, since it uses less digits than its factorization.

25464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 25464960 is about 5046.2817995035. The cubic root of 25464960 is about 294.2033855764.

The spelling of 25464960 in words is "twenty-five million, four hundred sixty-four thousand, nine hundred sixty".