45709800 has 192 divisors, whose sum is σ = 152668800. Its totient is φ = 11289600.

The previous prime is 45709759. The next prime is 45709813. The reversal of 45709800 is 890754.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643765 + ... + 643835.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 2^45709800 is an apocalyptic number.

45709800 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 45709800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

45709800 is an abundant number, since it is smaller than the sum of its proper divisors (106959000).

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

45709800 is a wasteful number, since it uses less digits than its factorization.

45709800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 45709800 is about 6760.9023066452. The cubic root of 45709800 is about 357.5497184182.

The spelling of 45709800 in words is "forty-five million, seven hundred nine thousand, eight hundred".