45358480 has 40 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 18008448.

The previous prime is 45358409. The next prime is 45358501. The reversal of 45358480 is 8485354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9081 + ... + 13159.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^45358480 is an apocalyptic number.

45358480 is a gapful number since it is divisible by the number (40) 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 45358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

45358480 is an abundant number, since it is smaller than the sum of its proper divisors (60884720).

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

45358480 is a wasteful number, since it uses less digits than its factorization.

45358480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 45358480 is about 6734.8704516123. The cubic root of 45358480 is about 356.6313335404.

The spelling of 45358480 in words is "forty-five million, three hundred fifty-eight thousand, four hundred eighty".