1250224800 has 576 divisors, whose sum is σ = 4859688960. Its totient is φ = 275968000.

The previous prime is 1250224799. The next prime is 1250224837. The reversal of 1250224800 is 84220521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17608765 + ... + 17608835.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^1250224800 is an apocalyptic number.

1250224800 is a gapful number since it is divisible by the number (10) 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 1250224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429844480).

1250224800 is an abundant number, since it is smaller than the sum of its proper divisors (3609464160).

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

1250224800 is a wasteful number, since it uses less digits than its factorization.

1250224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

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

The square root of 1250224800 is about 35358.5180684938. The cubic root of 1250224800 is about 1077.2819167343.

The spelling of 1250224800 in words is "one billion, two hundred fifty million, two hundred twenty-four thousand, eight hundred".