25379280 has 120 divisors (see below), whose sum is σ = 86322600. Its totient is φ = 6681600.

The previous prime is 25379279. The next prime is 25379311. The reversal of 25379280 is 8297352.

It is a happy number.

25379280 is a `hidden beast` number, since 2 + 5 + 379 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 13927824 = 3384^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72546 + ... + 72894.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^25379280 is an apocalyptic number.

25379280 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 25379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161300).

25379280 is an abundant number, since it is smaller than the sum of its proper divisors (60943320).

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

25379280 is a wasteful number, since it uses less digits than its factorization.

25379280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 25379280 is about 5037.7852276571. The cubic root of 25379280 is about 293.8730536207.

The spelling of 25379280 in words is "twenty-five million, three hundred seventy-nine thousand, two hundred eighty".