45408384 has 128 divisors (see below), whose sum is σ = 153244800. Its totient is φ = 12966912.

The previous prime is 45408383. The next prime is 45408413. The reversal of 45408384 is 48380454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45408383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23254 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (1197225).

Almost surely, 2^45408384 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 45408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76622400).

45408384 is an abundant number, since it is smaller than the sum of its proper divisors (107836416).

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

45408384 is a wasteful number, since it uses less digits than its factorization.

45408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45408384 is about 6738.5743299306. The cubic root of 45408384 is about 356.7620757751.

The spelling of 45408384 in words is "forty-five million, four hundred eight thousand, three hundred eighty-four".