25432400 has 120 divisors (see below), whose sum is σ = 72328704. Its totient is φ = 8409600.

The previous prime is 25432367. The next prime is 25432403. The reversal of 25432400 is 423452.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25432403) 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 23 ways as a sum of consecutive naturals, for example, 86654 + ... + 86946.

Almost surely, 2^25432400 is an apocalyptic number.

25432400 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 25432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36164352).

25432400 is an abundant number, since it is smaller than the sum of its proper divisors (46896304).

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

25432400 is a wasteful number, since it uses less digits than its factorization.

25432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 25432400 is about 5043.0546298846. The cubic root of 25432400 is about 294.0779406790.

Adding to 25432400 its reverse (423452), we get a palindrome (25855852).

The spelling of 25432400 in words is "twenty-five million, four hundred thirty-two thousand, four hundred".