45831984 has 80 divisors (see below), whose sum is σ = 131372544. Its totient is φ = 13651200.

The previous prime is 45831941. The next prime is 45831997. The reversal of 45831984 is 48913854.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31497 + ... + 32919.

Almost surely, 2^45831984 is an apocalyptic number.

45831984 is a gapful number since it is divisible by the number (44) 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 45831984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65686272).

45831984 is an abundant number, since it is smaller than the sum of its proper divisors (85540560).

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

45831984 is a wasteful number, since it uses less digits than its factorization.

45831984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 45831984 is about 6769.9323482587. The cubic root of 45831984 is about 357.8680162228.

It can be divided in two parts, 458319 and 84, that added together give a triangular number (458403 = T₉₅₇).

The spelling of 45831984 in words is "forty-five million, eight hundred thirty-one thousand, nine hundred eighty-four".