250070400 has 288 divisors, whose sum is σ = 941327400. Its totient is φ = 63037440.

The previous prime is 250070389. The next prime is 250070407. The reversal of 250070400 is 4070052.

It is a happy number.

250070400 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250070407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546972 + ... + 547428.

Almost surely, 2^250070400 is an apocalyptic number.

250070400 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 250070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470663700).

250070400 is an abundant number, since it is smaller than the sum of its proper divisors (691257000).

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

250070400 is a wasteful number, since it uses less digits than its factorization.

250070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 250070400 is about 15813.6143876092. The cubic root of 250070400 is about 630.0196516924.

It can be divided in two parts, 2500 and 70400, that added together give a square (72900 = 270²).

The spelling of 250070400 in words is "two hundred fifty million, seventy thousand, four hundred".