920225952 has 72 divisors (see below), whose sum is σ = 2730690144. Its totient is φ = 293403264.

The previous prime is 920225939. The next prime is 920225983. The reversal of 920225952 is 259522029.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 62838 + ... + 76085.

It is an arithmetic number, because the mean of its divisors is an integer number (37926252).

Almost surely, 2^920225952 is an apocalyptic number.

920225952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

920225952 is an abundant number, since it is smaller than the sum of its proper divisors (1810464192).

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

920225952 is a wasteful number, since it uses less digits than its factorization.

920225952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138962 (or 138951 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 920225952 is about 30335.2262559553. The cubic root of 920225952 is about 972.6684423065.

The spelling of 920225952 in words is "nine hundred twenty million, two hundred twenty-five thousand, nine hundred fifty-two".