45904720 has 20 divisors (see below), whose sum is σ = 106728660. Its totient is φ = 18361856.

The previous prime is 45904697. The next prime is 45904739. The reversal of 45904720 is 2740954.

45904720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 35093776 = 3288^2 + 5924^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 286825 + ... + 286984.

It is an arithmetic number, because the mean of its divisors is an integer number (5336433).

Almost surely, 2^45904720 is an apocalyptic number.

45904720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45904720 is an abundant number, since it is smaller than the sum of its proper divisors (60823940).

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

45904720 is a wasteful number, since it uses less digits than its factorization.

45904720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573822 (or 573816 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 45904720 is about 6775.3022072820. The cubic root of 45904720 is about 358.0572300130.

The spelling of 45904720 in words is "forty-five million, nine hundred four thousand, seven hundred twenty".