45537408 has 96 divisors (see below), whose sum is σ = 149784960. Its totient is φ = 13008384.

The previous prime is 45537397. The next prime is 45537409. The reversal of 45537408 is 80473554.

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 not an unprimeable number, because it can be changed into a prime (45537409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5241 + ... + 10887.

It is an arithmetic number, because the mean of its divisors is an integer number (1560260).

Almost surely, 2^45537408 is an apocalyptic number.

45537408 is a gapful number since it is divisible by the number (48) 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 45537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74892480).

45537408 is an abundant number, since it is smaller than the sum of its proper divisors (104247552).

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

45537408 is a wasteful number, since it uses less digits than its factorization.

45537408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 45537408 is about 6748.1410773635. The cubic root of 45537408 is about 357.0996591105.

The spelling of 45537408 in words is "forty-five million, five hundred thirty-seven thousand, four hundred eight".