45936800 has 144 divisors (see below), whose sum is σ = 138241152. Its totient is φ = 14515200.

The previous prime is 45936799. The next prime is 45936809. The reversal of 45936800 is 863954.

It is a super-2 number, since 2×45936800² = 4220379188480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (45936809) 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, 72485 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (960008).

Almost surely, 2^45936800 is an apocalyptic number.

45936800 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 45936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120576).

45936800 is an abundant number, since it is smaller than the sum of its proper divisors (92304352).

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

45936800 is a wasteful number, since it uses less digits than its factorization.

45936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 45936800 is about 6777.6692158883. The cubic root of 45936800 is about 358.1406186874.

The spelling of 45936800 in words is "forty-five million, nine hundred thirty-six thousand, eight hundred".