925478400 has 480 divisors, whose sum is σ = 3823826688. Its totient is φ = 191692800.

The previous prime is 925478399. The next prime is 925478413. The reversal of 925478400 is 4874529.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2956644 + ... + 2956956.

Almost surely, 2^925478400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911913344).

925478400 is an abundant number, since it is smaller than the sum of its proper divisors (2898348288).

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

925478400 is a wasteful number, since it uses less digits than its factorization.

925478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 925478400 is about 30421.6764824031. The cubic root of 925478400 is about 974.5155252492.

The spelling of 925478400 in words is "nine hundred twenty-five million, four hundred seventy-eight thousand, four hundred".