925903440 has 640 divisors, whose sum is σ = 4199731200. Its totient is φ = 181647360.

The previous prime is 925903399. The next prime is 925903441. The reversal of 925903440 is 44309529.

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

It is a junction number, because it is equal to n+sod(n) for n = 925903395 and 925903404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925903441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3159934 + ... + 3160226.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^925903440 is an apocalyptic number.

925903440 is a gapful number since it is divisible by the number (90) 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 925903440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

925903440 is an abundant number, since it is smaller than the sum of its proper divisors (3273827760).

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

925903440 is a wasteful number, since it uses less digits than its factorization.

925903440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 925903440 is about 30428.6614888003. The cubic root of 925903440 is about 974.6646894309.

The spelling of 925903440 in words is "nine hundred twenty-five million, nine hundred three thousand, four hundred forty".