45675360 has 192 divisors, whose sum is σ = 162993600. Its totient is φ = 11943936.

The previous prime is 45675341. The next prime is 45675403. The reversal of 45675360 is 6357654.

45675360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45675360² = 4172477022259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418986 + ... + 419094.

It is an arithmetic number, because the mean of its divisors is an integer number (848925).

Almost surely, 2^45675360 is an apocalyptic number.

45675360 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 45675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81496800).

45675360 is an abundant number, since it is smaller than the sum of its proper divisors (117318240).

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

45675360 is a wasteful number, since it uses less digits than its factorization.

45675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45675360 is about 6758.3548293945. The cubic root of 45675360 is about 357.4598973713.

The spelling of 45675360 in words is "forty-five million, six hundred seventy-five thousand, three hundred sixty".