45977008 has 80 divisors (see below), whose sum is σ = 112921344. Its totient is φ = 17614080.

The previous prime is 45977003. The next prime is 45977011. The reversal of 45977008 is 80077954.

It is a super-2 number, since 2×45977008² = 4227770529264128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45977003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82266 + ... + 82822.

Almost surely, 2^45977008 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 45977008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56460672).

45977008 is an abundant number, since it is smaller than the sum of its proper divisors (66944336).

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

45977008 is a wasteful number, since it uses less digits than its factorization.

45977008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 45977008 is about 6780.6347785440. The cubic root of 45977008 is about 358.2450804596.

The spelling of 45977008 in words is "forty-five million, nine hundred seventy-seven thousand, eight".