255467904 has 64 divisors (see below), whose sum is σ = 680352240. Its totient is φ = 84934656.

The previous prime is 255467887. The next prime is 255467921. The reversal of 255467904 is 409764552.

255467904 = T₁ + T₂ + ... + T₁₁₅₂.

255467904 is a nontrivial binomial coefficient, being equal to C(1154, 3).

It is an interprime number because it is at equal distance from previous prime (255467887) and next prime (255467921).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is the 1152-nd tetrahedral number.

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 7 ways as a sum of consecutive naturals, for example, 220992 + ... + 222144.

Almost surely, 2^255467904 is an apocalyptic number.

255467904 is a gapful number since it is divisible by the number (24) 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 255467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340176120).

255467904 is an abundant number, since it is smaller than the sum of its proper divisors (424884336).

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

255467904 is a wasteful number, since it uses less digits than its factorization.

255467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 255467904 is about 15983.3633506844. The cubic root of 255467904 is about 634.5201938975.

The spelling of 255467904 in words is "two hundred fifty-five million, four hundred sixty-seven thousand, nine hundred four".