45418720 has 48 divisors (see below), whose sum is σ = 110775168. Its totient is φ = 17579520.

The previous prime is 45418699. The next prime is 45418729. The reversal of 45418720 is 2781454.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45418729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382 + ... + 9538.

It is an arithmetic number, because the mean of its divisors is an integer number (2307816).

Almost surely, 2^45418720 is an apocalyptic number.

45418720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55387584).

45418720 is an abundant number, since it is smaller than the sum of its proper divisors (65356448).

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

45418720 is a wasteful number, since it uses less digits than its factorization.

45418720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9203 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 45418720 is about 6739.3412140950. The cubic root of 45418720 is about 356.7891428255.

The spelling of 45418720 in words is "forty-five million, four hundred eighteen thousand, seven hundred twenty".