45948384 has 144 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 14463360.

The previous prime is 45948377. The next prime is 45948389. The reversal of 45948384 is 48384954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45948384² = 4222507984422912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45948389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147589 + ... + 147899.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 2^45948384 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 45948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

45948384 is an abundant number, since it is smaller than the sum of its proper divisors (97147296).

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

45948384 is a wasteful number, since it uses less digits than its factorization.

45948384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 45948384 is about 6778.5237330853. The cubic root of 45948384 is about 358.1707205683.

The spelling of 45948384 in words is "forty-five million, nine hundred forty-eight thousand, three hundred eighty-four".