25416400 has 30 divisors (see below), whose sum is σ = 61063862. Its totient is φ = 10166400.

The previous prime is 25416379. The next prime is 25416407. The reversal of 25416400 is 461452.

It can be written as a sum of positive squares in 3 ways, for example, as 4293184 + 21123216 = 2072^2 + 4596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25416407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31371 + ... + 32170.

Almost surely, 2^25416400 is an apocalyptic number.

25416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25416400 is an abundant number, since it is smaller than the sum of its proper divisors (35647462).

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

25416400 is a wasteful number, since it uses less digits than its factorization.

25416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63559 (or 63548 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 25416400 is about 5041.4680401645. The cubic root of 25416400 is about 294.0162577586.

Adding to 25416400 its reverse (461452), we get a palindrome (25877852).

The spelling of 25416400 in words is "twenty-five million, four hundred sixteen thousand, four hundred".