45858384 has 240 divisors, whose sum is σ = 160864704. Its totient is φ = 11980800.

The previous prime is 45858359. The next prime is 45858391. The reversal of 45858384 is 48385854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349999 + ... + 350129.

Almost surely, 2^45858384 is an apocalyptic number.

45858384 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 45858384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

45858384 is an abundant number, since it is smaller than the sum of its proper divisors (115006320).

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

45858384 is a wasteful number, since it uses less digits than its factorization.

45858384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 45858384 is about 6771.8818654788. The cubic root of 45858384 is about 357.9367157158.

The spelling of 45858384 in words is "forty-five million, eight hundred fifty-eight thousand, three hundred eighty-four".