45091904 has 84 divisors (see below), whose sum is σ = 105978960. Its totient is φ = 18869760.

The previous prime is 45091889. The next prime is 45091909. The reversal of 45091904 is 40919054.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45091909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118787 + ... + 119165.

Almost surely, 2^45091904 is an apocalyptic number.

45091904 is a gapful number since it is divisible by the number (44) 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 45091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52989480).

45091904 is an abundant number, since it is smaller than the sum of its proper divisors (60887056).

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

45091904 is a wasteful number, since it uses less digits than its factorization.

45091904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 45091904 is about 6715.0505582609. The cubic root of 45091904 is about 355.9313085494.

The spelling of 45091904 in words is "forty-five million, ninety-one thousand, nine hundred four".