45825920 has 128 divisors (see below), whose sum is σ = 128226240. Its totient is φ = 15335424.

The previous prime is 45825911. The next prime is 45825947. The reversal of 45825920 is 2952854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) 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 (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237344 + ... + 237536.

Almost surely, 2^45825920 is an apocalyptic number.

45825920 is a gapful number since it is divisible by the number (40) 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 45825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64113120).

45825920 is an abundant number, since it is smaller than the sum of its proper divisors (82400320).

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

45825920 is a wasteful number, since it uses less digits than its factorization.

45825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 45825920 is about 6769.4844707703. The cubic root of 45825920 is about 357.8522324318.

The spelling of 45825920 in words is "forty-five million, eight hundred twenty-five thousand, nine hundred twenty".