45559360 has 168 divisors, whose sum is σ = 138476736. Its totient is φ = 13870080.

The previous prime is 45559313. The next prime is 45559361. The reversal of 45559360 is 6395554.

45559360 = 883² + 884² + ... + 937².

It is not an unprimeable number, because it can be changed into a prime (45559361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059499 + ... + 1059541.

Almost surely, 2^45559360 is an apocalyptic number.

45559360 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 45559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69238368).

45559360 is an abundant number, since it is smaller than the sum of its proper divisors (92917376).

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

45559360 is a wasteful number, since it uses less digits than its factorization.

45559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 45559360 is about 6749.7674033999. The cubic root of 45559360 is about 357.1570316660.

The spelling of 45559360 in words is "forty-five million, five hundred fifty-nine thousand, three hundred sixty".