45249984 has 84 divisors (see below), whose sum is σ = 139701016. Its totient is φ = 13920768.

The previous prime is 45249949. The next prime is 45249989. The reversal of 45249984 is 48994254.

It is a super-2 number, since 2×45249984² = 4095122104000512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45249989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4467 + ... + 10509.

Almost surely, 2^45249984 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 45249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69850508).

45249984 is an abundant number, since it is smaller than the sum of its proper divisors (94451032).

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

45249984 is a wasteful number, since it uses less digits than its factorization.

45249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6061 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 45249984 is about 6726.8108342661. The cubic root of 45249984 is about 356.3467563597.

The spelling of 45249984 in words is "forty-five million, two hundred forty-nine thousand, nine hundred eighty-four".