25683400 has 48 divisors (see below), whose sum is σ = 60057540. Its totient is φ = 10214400.

The previous prime is 25683397. The next prime is 25683401. The reversal of 25683400 is 438652.

It can be written as a sum of positive squares in 6 ways, for example, as 16695396 + 8988004 = 4086^2 + 2998^2 .

It is not an unprimeable number, because it can be changed into a prime (25683401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55972 + ... + 56428.

Almost surely, 2^25683400 is an apocalyptic number.

25683400 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 25683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028770).

25683400 is an abundant number, since it is smaller than the sum of its proper divisors (34374140).

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

25683400 is a wasteful number, since it uses less digits than its factorization.

25683400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 25683400 is about 5067.8792408659. The cubic root of 25683400 is about 295.0422232008.

The spelling of 25683400 in words is "twenty-five million, six hundred eighty-three thousand, four hundred".