45124800 has 336 divisors, whose sum is σ = 181416960. Its totient is φ = 9584640.

The previous prime is 45124777. The next prime is 45124819. The reversal of 45124800 is 842154.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 571161 + ... + 571239.

Almost surely, 2^45124800 is an apocalyptic number.

45124800 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 45124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

45124800 is an abundant number, since it is smaller than the sum of its proper divisors (136292160).

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

45124800 is a wasteful number, since it uses less digits than its factorization.

45124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45124800 is about 6717.4995347972. The cubic root of 45124800 is about 356.0178419707.

Adding to 45124800 its reverse (842154), we get a palindrome (45966954).

The spelling of 45124800 in words is "forty-five million, one hundred twenty-four thousand, eight hundred".