25460800 has 42 divisors (see below), whose sum is σ = 62653418. Its totient is φ = 10183680.

The previous prime is 25460797. The next prime is 25460803. The reversal of 25460800 is 806452.

It is an interprime number because it is at equal distance from previous prime (25460797) and next prime (25460803).

It can be written as a sum of positive squares in 3 ways, for example, as 4227136 + 21233664 = 2056^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25460803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6357 + ... + 9556.

Almost surely, 2^25460800 is an apocalyptic number.

25460800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25460800 is an abundant number, since it is smaller than the sum of its proper divisors (37192618).

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

25460800 is a wasteful number, since it uses less digits than its factorization.

25460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15920 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 25460800 is about 5045.8695979980. The cubic root of 25460800 is about 294.1873641790.

The spelling of 25460800 in words is "twenty-five million, four hundred sixty thousand, eight hundred".