25142400 has 240 divisors, whose sum is σ = 93737490. Its totient is φ = 6635520.

The previous prime is 25142399. The next prime is 25142413. The reversal of 25142400 is 424152.

It can be written as a sum of positive squares in 3 ways, for example, as 18045504 + 7096896 = 4248^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259152 + ... + 259248.

Almost surely, 2^25142400 is an apocalyptic number.

25142400 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 25142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46868745).

25142400 is an abundant number, since it is smaller than the sum of its proper divisors (68595090).

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

25142400 is an equidigital number, since it uses as much as digits as its factorization.

25142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 25142400 is about 5014.2197797863. The cubic root of 25142400 is about 292.9558965561.

Adding to 25142400 its reverse (424152), we get a palindrome (25566552).

The spelling of 25142400 in words is "twenty-five million, one hundred forty-two thousand, four hundred".