45750480 has 160 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 11321856.

The previous prime is 45750469. The next prime is 45750493. The reversal of 45750480 is 8405754.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 360177 + ... + 360303.

It is an arithmetic number, because the mean of its divisors is an integer number (952320).

Almost surely, 2^45750480 is an apocalyptic number.

45750480 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 45750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

45750480 is an abundant number, since it is smaller than the sum of its proper divisors (106620720).

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

45750480 is a wasteful number, since it uses less digits than its factorization.

45750480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45750480 is about 6763.9101117623. The cubic root of 45750480 is about 357.6557555612.

The spelling of 45750480 in words is "forty-five million, seven hundred fifty thousand, four hundred eighty".