260582400 has 528 divisors, whose sum is σ = 1066077600. Its totient is φ = 61931520.

The previous prime is 260582393. The next prime is 260582411. The reversal of 260582400 is 4285062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985586 + ... + 8985614.

Almost surely, 2^260582400 is an apocalyptic number.

260582400 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 260582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533038800).

260582400 is an abundant number, since it is smaller than the sum of its proper divisors (805495200).

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

260582400 is a wasteful number, since it uses less digits than its factorization.

260582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 260582400 is about 16142.5648519682. The cubic root of 260582400 is about 638.7266348174.

It can be divided in two parts, 260 and 582400, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 260582400 in words is "two hundred sixty million, five hundred eighty-two thousand, four hundred".