45405360 has 600 divisors, whose sum is σ = 215517456. Its totient is φ = 8709120.

The previous prime is 45405341. The next prime is 45405361. The reversal of 45405360 is 6350454.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45405361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3492714 + ... + 3492726.

Almost surely, 2^45405360 is an apocalyptic number.

45405360 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 45405360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

45405360 is an abundant number, since it is smaller than the sum of its proper divisors (170112096).

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

45405360 is a wasteful number, since it uses less digits than its factorization.

45405360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45405360 is about 6738.3499463890. The cubic root of 45405360 is about 356.7541560007.

The spelling of 45405360 in words is "forty-five million, four hundred five thousand, three hundred sixty".