45210984 has 128 divisors (see below), whose sum is σ = 141066240. Its totient is φ = 11757312.

The previous prime is 45210983. The next prime is 45211027. The reversal of 45210984 is 48901254.

It is not an unprimeable number, because it can be changed into a prime (45210983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277287 + ... + 277449.

It is an arithmetic number, because the mean of its divisors is an integer number (1102080).

Almost surely, 2^45210984 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 45210984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70533120).

45210984 is an abundant number, since it is smaller than the sum of its proper divisors (95855256).

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

45210984 is a wasteful number, since it uses less digits than its factorization.

45210984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45210984 is about 6723.9113617001. The cubic root of 45210984 is about 356.2443510338.

The spelling of 45210984 in words is "forty-five million, two hundred ten thousand, nine hundred eighty-four".