1250380800 has 462 divisors, whose sum is σ = 4716378068. Its totient is φ = 328458240.

The previous prime is 1250380777. The next prime is 1250380843. The reversal of 1250380800 is 80830521.

It is a happy number.

1250380800 is a `hidden beast` number, since 1 + 2 + 503 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662367 + ... + 18662433.

Almost surely, 2^1250380800 is an apocalyptic number.

1250380800 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 1250380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358189034).

1250380800 is an abundant number, since it is smaller than the sum of its proper divisors (3465997268).

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

1250380800 is an frugal number, since it uses more digits than its factorization.

1250380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1250380800 is about 35360.7239744890. The cubic root of 1250380800 is about 1077.3267217405.

The spelling of 1250380800 in words is "one billion, two hundred fifty million, three hundred eighty thousand, eight hundred".