25478400 has 108 divisors (see below), whose sum is σ = 84147392. Its totient is φ = 6789120.

The previous prime is 25478363. The next prime is 25478407. The reversal of 25478400 is 487452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25478407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18537 + ... + 19863.

Almost surely, 2^25478400 is an apocalyptic number.

25478400 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 25478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42073696).

25478400 is an abundant number, since it is smaller than the sum of its proper divisors (58668992).

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

25478400 is a wasteful number, since it uses less digits than its factorization.

25478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 25478400 is about 5047.6132973912. The cubic root of 25478400 is about 294.2551350925.

It can be divided in two parts, 25478 and 400, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 25478400 in words is "twenty-five million, four hundred seventy-eight thousand, four hundred".