25552464 has 80 divisors (see below), whose sum is σ = 76221312. Its totient is φ = 7225344.

The previous prime is 25552453. The next prime is 25552477. The reversal of 25552464 is 46425552.

25552464 = 220² + 221² + ... + 443².

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37632 + ... + 38304.

Almost surely, 2^25552464 is an apocalyptic number.

25552464 is a gapful number since it is divisible by the number (24) 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 25552464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38110656).

25552464 is an abundant number, since it is smaller than the sum of its proper divisors (50668848).

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

25552464 is a wasteful number, since it uses less digits than its factorization.

25552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 25552464 is about 5054.9445100812. The cubic root of 25552464 is about 294.5399859039.

The spelling of 25552464 in words is "twenty-five million, five hundred fifty-two thousand, four hundred sixty-four".