45561600 has 324 divisors, whose sum is σ = 187810896. Its totient is φ = 10321920.

The previous prime is 45561589. The next prime is 45561617. The reversal of 45561600 is 616554.

It is a happy number.

45561600 is a `hidden beast` number, since 4 + 5 + 56 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403144 + ... + 403256.

Almost surely, 2^45561600 is an apocalyptic number.

45561600 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 45561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93905448).

45561600 is an abundant number, since it is smaller than the sum of its proper divisors (142249296).

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

45561600 is a wasteful number, since it uses less digits than its factorization.

45561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45561600 is about 6749.9333330041. The cubic root of 45561600 is about 357.1628849721.

The spelling of 45561600 in words is "forty-five million, five hundred sixty-one thousand, six hundred".