25384440 has 64 divisors (see below), whose sum is σ = 76608000. Its totient is φ = 6728832.

The previous prime is 25384423. The next prime is 25384441. The reversal of 25384440 is 4448352.

It is a super-2 number, since 2×25384440² = 1288739588227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25384398 and 25384407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25384441) 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 15 ways as a sum of consecutive naturals, for example, 23349 + ... + 24411.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^25384440 is an apocalyptic number.

25384440 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 25384440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

25384440 is an abundant number, since it is smaller than the sum of its proper divisors (51223560).

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

25384440 is a wasteful number, since it uses less digits than its factorization.

25384440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 25384440 is about 5038.2973314405. The cubic root of 25384440 is about 293.8929685828.

The spelling of 25384440 in words is "twenty-five million, three hundred eighty-four thousand, four hundred forty".