250000400 has 120 divisors (see below), whose sum is σ = 653541504. Its totient is φ = 91353600.

The previous prime is 250000393. The next prime is 250000433. The reversal of 250000400 is 4000052.

It is a sliding number, since 250000400 = 400 + 250000000 and 1/400 + 1/250000000 = 0.00250000400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681017 + ... + 681383.

Almost surely, 2^250000400 is an apocalyptic number.

250000400 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 250000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326770752).

250000400 is an abundant number, since it is smaller than the sum of its proper divisors (403541104).

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

250000400 is a wasteful number, since it uses less digits than its factorization.

250000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 250000400 is about 15811.4009499475. The cubic root of 250000400 is about 629.9608609262.

Adding to 250000400 its reverse (4000052), we get a palindrome (254000452).

It can be divided in two parts, 250000 and 400, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 250000400 in words is "two hundred fifty million, four hundred", and thus it is an aban number.