925356240 has 480 divisors, whose sum is σ = 3635124480. Its totient is φ = 209240064.

The previous prime is 925356197. The next prime is 925356269. The reversal of 925356240 is 42653529.

925356240 is a `hidden beast` number, since 9 + 2 + 53 + 562 + 40 = 666.

925356240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 925356195 and 925356204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5348794 + ... + 5348966.

It is an arithmetic number, because the mean of its divisors is an integer number (7573176).

Almost surely, 2^925356240 is an apocalyptic number.

925356240 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 925356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817562240).

925356240 is an abundant number, since it is smaller than the sum of its proper divisors (2709768240).

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

925356240 is a wasteful number, since it uses less digits than its factorization.

925356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 925356240 is about 30419.6686372485. The cubic root of 925356240 is about 974.4726457846.

The spelling of 925356240 in words is "nine hundred twenty-five million, three hundred fifty-six thousand, two hundred forty".