251562240 has 288 divisors, whose sum is σ = 927158400. Its totient is φ = 64512000.

The previous prime is 251562217. The next prime is 251562263. The reversal of 251562240 is 42265152.

251562240 is a `hidden beast` number, since 25 + 15 + 622 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (251562217) and next prime (251562263).

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 (27).

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 31 ways as a sum of consecutive naturals, for example, 1002115 + ... + 1002365.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2^251562240 is an apocalyptic number.

251562240 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 251562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463579200).

251562240 is an abundant number, since it is smaller than the sum of its proper divisors (675596160).

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

251562240 is a wasteful number, since it uses less digits than its factorization.

251562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 251562240 is about 15860.7137292116. The cubic root of 251562240 is about 631.2700004773.

The spelling of 251562240 in words is "two hundred fifty-one million, five hundred sixty-two thousand, two hundred forty".