45831600 has 180 divisors, whose sum is σ = 164907600. Its totient is φ = 11773440.

The previous prime is 45831587. The next prime is 45831607. The reversal of 45831600 is 613854.

45831600 is a `hidden beast` number, since 4 + 58 + 3 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (45831607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104181 + ... + 104619.

Almost surely, 2^45831600 is an apocalyptic number.

45831600 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 45831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82453800).

45831600 is an abundant number, since it is smaller than the sum of its proper divisors (119076000).

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

45831600 is a wasteful number, since it uses less digits than its factorization.

45831600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45831600 is about 6769.9039875023. The cubic root of 45831600 is about 357.8670167628.

The spelling of 45831600 in words is "forty-five million, eight hundred thirty-one thousand, six hundred".