45884496 has 160 divisors (see below), whose sum is σ = 148919040. Its totient is φ = 11870208.

The previous prime is 45884491. The next prime is 45884497. The reversal of 45884496 is 69448854.

It is a super-3 number, since 3×45884496³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45884491) 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, 165510 + ... + 165786.

It is an arithmetic number, because the mean of its divisors is an integer number (930744).

Almost surely, 2^45884496 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 45884496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74459520).

45884496 is an abundant number, since it is smaller than the sum of its proper divisors (103034544).

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

45884496 is a wasteful number, since it uses less digits than its factorization.

45884496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 45884496 is about 6773.8095633107. The cubic root of 45884496 is about 358.0046398283.

The spelling of 45884496 in words is "forty-five million, eight hundred eighty-four thousand, four hundred ninety-six".