260618400 has 216 divisors, whose sum is σ = 1050495264. Its totient is φ = 59558400.

The previous prime is 260618387. The next prime is 260618411. The reversal of 260618400 is 4816062.

260618400 is a `hidden beast` number, since 2 + 6 + 0 + 618 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47815 + ... + 52985.

It is an arithmetic number, because the mean of its divisors is an integer number (4863404).

Almost surely, 2^260618400 is an apocalyptic number.

260618400 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 260618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525247632).

260618400 is an abundant number, since it is smaller than the sum of its proper divisors (789876864).

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

260618400 is a wasteful number, since it uses less digits than its factorization.

260618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 260618400 is about 16143.6798778965. The cubic root of 260618400 is about 638.7560472669.

The spelling of 260618400 in words is "two hundred sixty million, six hundred eighteen thousand, four hundred".