45577408 has 56 divisors (see below), whose sum is σ = 96725232. Its totient is φ = 21233664.

The previous prime is 45577381. The next prime is 45577423. The reversal of 45577408 is 80477554.

45577408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 177216 + ... + 177472.

Almost surely, 2^45577408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48362616).

45577408 is an abundant number, since it is smaller than the sum of its proper divisors (51147824).

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

45577408 is a wasteful number, since it uses less digits than its factorization.

45577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 45577408 is about 6751.1042059799. The cubic root of 45577408 is about 357.2041871361.

The spelling of 45577408 in words is "forty-five million, five hundred seventy-seven thousand, four hundred eight".