250496400 has 240 divisors, whose sum is σ = 1000793088. Its totient is φ = 52032000.

The previous prime is 250496353. The next prime is 250496423. The reversal of 250496400 is 4694052.

250496400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 91045 + ... + 93755.

Almost surely, 2^250496400 is an apocalyptic number.

250496400 is a gapful number since it is divisible by the number (20) 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 250496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500396544).

250496400 is an abundant number, since it is smaller than the sum of its proper divisors (750296688).

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

250496400 is a wasteful number, since it uses less digits than its factorization.

250496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 250496400 is about 15827.0780626116. The cubic root of 250496400 is about 630.3771991590.

The spelling of 250496400 in words is "two hundred fifty million, four hundred ninety-six thousand, four hundred".