925416960 has 480 divisors, whose sum is σ = 3450636288. Its totient is φ = 210862080.

The previous prime is 925416959. The next prime is 925416967. The reversal of 925416960 is 69614529.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925416967) 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 47 ways as a sum of consecutive naturals, for example, 29852145 + ... + 29852175.

Almost surely, 2^925416960 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 925416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725318144).

925416960 is an abundant number, since it is smaller than the sum of its proper divisors (2525219328).

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

925416960 is a wasteful number, since it uses less digits than its factorization.

925416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 925416960 is about 30420.6666593617. Note that the first 4 decimals coincide. The cubic root of 925416960 is about 974.4939596247.

The spelling of 925416960 in words is "nine hundred twenty-five million, four hundred sixteen thousand, nine hundred sixty".