25734400 has 54 divisors (see below), whose sum is σ = 63712502. Its totient is φ = 10291200.

The previous prime is 25734367. The next prime is 25734409. The reversal of 25734400 is 443752.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 25725184 = 96^2 + 5072^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25734409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4390 + ... + 8410.

Almost surely, 2^25734400 is an apocalyptic number.

25734400 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 25734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31856251).

25734400 is an abundant number, since it is smaller than the sum of its proper divisors (37978102).

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

25734400 is an equidigital number, since it uses as much as digits as its factorization.

25734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 25734400 is about 5072.9084359961. The cubic root of 25734400 is about 295.2373843367.

The spelling of 25734400 in words is "twenty-five million, seven hundred thirty-four thousand, four hundred".