25950400 has 126 divisors (see below), whose sum is σ = 74503788. Its totient is φ = 8870400.

The previous prime is 25950377. The next prime is 25950401. The reversal of 25950400 is 405952.

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 (25950401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78235 + ... + 78565.

Almost surely, 2^25950400 is an apocalyptic number.

25950400 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 25950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37251894).

25950400 is an abundant number, since it is smaller than the sum of its proper divisors (48553388).

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

25950400 is a wasteful number, since it uses less digits than its factorization.

25950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 25950400 is about 5094.1535116249. The cubic root of 25950400 is about 296.0611025551.

The spelling of 25950400 in words is "twenty-five million, nine hundred fifty thousand, four hundred".