251934480 has 360 divisors, whose sum is σ = 1016053272. Its totient is φ = 55738368.

The previous prime is 251934469. The next prime is 251934481. The reversal of 251934480 is 84439152.

251934480 is a `hidden beast` number, since 25 + 193 + 448 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 211179024 = 6384^2 + 14532^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (251934481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305264 + ... + 1305456.

Almost surely, 2^251934480 is an apocalyptic number.

251934480 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 251934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508026636).

251934480 is an abundant number, since it is smaller than the sum of its proper divisors (764118792).

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

251934480 is a wasteful number, since it uses less digits than its factorization.

251934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 251934480 is about 15872.4440462079. Note that the first 3 decimals coincide. The cubic root of 251934480 is about 631.5812132375.

The spelling of 251934480 in words is "two hundred fifty-one million, nine hundred thirty-four thousand, four hundred eighty".