25016400 has 90 divisors (see below), whose sum is σ = 86826350. Its totient is φ = 6670080.

The previous prime is 25016399. The next prime is 25016423. The reversal of 25016400 is 461052.

It is a happy number.

25016400 is a `hidden beast` number, since 25 + 0 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4981824 + 20034576 = 2232^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126 + ... + 7074.

Almost surely, 2^25016400 is an apocalyptic number.

25016400 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 25016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43413175).

25016400 is an abundant number, since it is smaller than the sum of its proper divisors (61809950).

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

25016400 is a wasteful number, since it uses less digits than its factorization.

25016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25016400 is about 5001.6397311282. The cubic root of 25016400 is about 292.4656983664.

Adding to 25016400 its reverse (461052), we get a palindrome (25477452).

The spelling of 25016400 in words is "twenty-five million, sixteen thousand, four hundred".