45908352 has 96 divisors (see below), whose sum is σ = 151004880. Its totient is φ = 13114368.

The previous prime is 45908339. The next prime is 45908371. The reversal of 45908352 is 25380954.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5218 + ... + 10910.

Almost surely, 2^45908352 is an apocalyptic number.

45908352 is a gapful number since it is divisible by the number (42) 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 45908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75502440).

45908352 is an abundant number, since it is smaller than the sum of its proper divisors (105096528).

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

45908352 is a wasteful number, since it uses less digits than its factorization.

45908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45908352 is about 6775.5702343050. The cubic root of 45908352 is about 358.0666729749.

The spelling of 45908352 in words is "forty-five million, nine hundred eight thousand, three hundred fifty-two".