45712800 has 216 divisors, whose sum is σ = 184425696. Its totient is φ = 10437120.

The previous prime is 45712789. The next prime is 45712801. The reversal of 45712800 is 821754.

It is not an unprimeable number, because it can be changed into a prime (45712801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49947 + ... + 50853.

Almost surely, 2^45712800 is an apocalyptic number.

45712800 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 45712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92212848).

45712800 is an abundant number, since it is smaller than the sum of its proper divisors (138712896).

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

45712800 is a wasteful number, since it uses less digits than its factorization.

45712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 45712800 is about 6761.1241668823. The cubic root of 45712800 is about 357.5575404147.

The spelling of 45712800 in words is "forty-five million, seven hundred twelve thousand, eight hundred".