45561920 has 28 divisors (see below), whose sum is σ = 108495084. Its totient is φ = 18224640.

The previous prime is 45561913. The next prime is 45561959. The reversal of 45561920 is 2916554.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19998784 + 25563136 = 4472^2 + 5056^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70871 + ... + 71510.

Almost surely, 2^45561920 is an apocalyptic number.

45561920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45561920 is an abundant number, since it is smaller than the sum of its proper divisors (62933164).

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

45561920 is a wasteful number, since it uses less digits than its factorization.

45561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142398 (or 142388 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 45561920 is about 6749.9570369003. The cubic root of 45561920 is about 357.1637211430.

The spelling of 45561920 in words is "forty-five million, five hundred sixty-one thousand, nine hundred twenty".