25478920 has 64 divisors (see below), whose sum is σ = 61527600. Its totient is φ = 9461760.

The previous prime is 25478911. The next prime is 25478927. The reversal of 25478920 is 2987452.

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 22676644 = 1674^2 + 4762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25478920.

It is not an unprimeable number, because it can be changed into a prime (25478927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60310 + ... + 60730.

Almost surely, 2^25478920 is an apocalyptic number.

25478920 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 25478920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30763800).

25478920 is an abundant number, since it is smaller than the sum of its proper divisors (36048680).

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

25478920 is a wasteful number, since it uses less digits than its factorization.

25478920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 25478920 is about 5047.6648066210. The cubic root of 25478920 is about 294.2571369402.

The spelling of 25478920 in words is "twenty-five million, four hundred seventy-eight thousand, nine hundred twenty".