25006464 has 144 divisors (see below), whose sum is σ = 83896020. Its totient is φ = 7128576.

The previous prime is 25006447. The next prime is 25006469. The reversal of 25006464 is 46460052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25006469) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 56227 + ... + 56669.

Almost surely, 2^25006464 is an apocalyptic number.

25006464 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 25006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41948010).

25006464 is an abundant number, since it is smaller than the sum of its proper divisors (58889556).

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

25006464 is a wasteful number, since it uses less digits than its factorization.

25006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 25006464 is about 5000.6463582221. The cubic root of 25006464 is about 292.4269727838.

The spelling of 25006464 in words is "twenty-five million, six thousand, four hundred sixty-four".