45516360 has 64 divisors (see below), whose sum is σ = 139740480. Its totient is φ = 11854080.

The previous prime is 45516353. The next prime is 45516397. The reversal of 45516360 is 6361554.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 750 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (2183445).

Almost surely, 2^45516360 is an apocalyptic number.

45516360 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 45516360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69870240).

45516360 is an abundant number, since it is smaller than the sum of its proper divisors (94224120).

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

45516360 is a wasteful number, since it uses less digits than its factorization.

45516360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 45516360 is about 6746.5813565094. The cubic root of 45516360 is about 357.0446318827.

The spelling of 45516360 in words is "forty-five million, five hundred sixteen thousand, three hundred sixty".