45407968 has 48 divisors (see below), whose sum is σ = 93350880. Its totient is φ = 21715456.

The previous prime is 45407941. The next prime is 45407981. The reversal of 45407968 is 86970454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154830 + ... + 155122.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 2^45407968 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 45407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46675440).

45407968 is an abundant number, since it is smaller than the sum of its proper divisors (47942912).

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

45407968 is a wasteful number, since it uses less digits than its factorization.

45407968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 45407968 is about 6738.5434627967. The cubic root of 45407968 is about 356.7609863032.

The spelling of 45407968 in words is "forty-five million, four hundred seven thousand, nine hundred sixty-eight".