45948416 has 40 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 21618688.

The previous prime is 45948391. The next prime is 45948421. The reversal of 45948416 is 61484954.

It is a super-2 number, since 2×45948416² = 4222513865818112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6065 + ... + 11343.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^45948416 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 45948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

45948416 is an abundant number, since it is smaller than the sum of its proper divisors (51277504).

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

45948416 is an equidigital number, since it uses as much as digits as its factorization.

45948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5298 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 45948416 is about 6778.5260934808. The cubic root of 45948416 is about 358.1708037157.

It can be divided in two parts, 45948 and 416, that added together give a palindrome (46364).

The spelling of 45948416 in words is "forty-five million, nine hundred forty-eight thousand, four hundred sixteen".