25342400 has 84 divisors (see below), whose sum is σ = 63873888. Its totient is φ = 9891840.

The previous prime is 25342381. The next prime is 25342423. The reversal of 25342400 is 424352.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75032 + ... + 75368.

Almost surely, 2^25342400 is an apocalyptic number.

25342400 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 25342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31936944).

25342400 is an abundant number, since it is smaller than the sum of its proper divisors (38531488).

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

25342400 is a wasteful number, since it uses less digits than its factorization.

25342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

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

The square root of 25342400 is about 5034.1235582771. The cubic root of 25342400 is about 293.7306370216.

Adding to 25342400 its reverse (424352), we get a palindrome (25766752).

The spelling of 25342400 in words is "twenty-five million, three hundred forty-two thousand, four hundred".