45855360 has 192 divisors, whose sum is σ = 167076000. Its totient is φ = 11556864.

The previous prime is 45855349. The next prime is 45855367. The reversal of 45855360 is 6355854.

45855360 is a `hidden beast` number, since 45 + 8 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45855367) 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, 109231 + ... + 109649.

Almost surely, 2^45855360 is an apocalyptic number.

45855360 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 45855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538000).

45855360 is an abundant number, since it is smaller than the sum of its proper divisors (121220640).

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

45855360 is a wasteful number, since it uses less digits than its factorization.

45855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 45855360 is about 6771.6585856052. The cubic root of 45855360 is about 357.9288478384.

The spelling of 45855360 in words is "forty-five million, eight hundred fifty-five thousand, three hundred sixty".