250272400 has 135 divisors (see below), whose sum is σ = 705692091. Its totient is φ = 85048320.

The previous prime is 250272377. The next prime is 250272401. The reversal of 250272400 is 4272052.

The square root of 250272400 is 15820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 127328656 + 122943744 = 11284^2 + 11088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (250272401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2214744 + ... + 2214856.

Almost surely, 2^250272400 is an apocalyptic number.

250272400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

250272400 is the 15820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250272400

250272400 is an abundant number, since it is smaller than the sum of its proper divisors (455419691).

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

250272400 is a wasteful number, since it uses less digits than its factorization.

250272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The cubic root of 250272400 is about 630.1892435596.

The spelling of 250272400 in words is "two hundred fifty million, two hundred seventy-two thousand, four hundred".