45619920 has 60 divisors (see below), whose sum is σ = 153209316. Its totient is φ = 12165120.

The previous prime is 45619919. The next prime is 45619933. The reversal of 45619920 is 2991654.

45619920 is a `hidden beast` number, since 4 + 561 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 26749584 = 4344^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 30961 + ... + 32400.

Almost surely, 2^45619920 is an apocalyptic number.

45619920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45619920 is an abundant number, since it is smaller than the sum of its proper divisors (107589396).

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

45619920 is a wasteful number, since it uses less digits than its factorization.

45619920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63380 (or 63371 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45619920 is about 6754.2519941145. The cubic root of 45619920 is about 357.3152125040.

The spelling of 45619920 in words is "forty-five million, six hundred nineteen thousand, nine hundred twenty".