260996400 has 180 divisors, whose sum is σ = 1035219952. Its totient is φ = 59650560.

The previous prime is 260996399. The next prime is 260996401. The reversal of 260996400 is 4699062.

260996400 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 9 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260996399) and next prime (260996401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×260996400³ (a number of 26 digits) contains 333 as substring.

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 (260996401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20022 + ... + 30378.

Almost surely, 2^260996400 is an apocalyptic number.

260996400 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 260996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517609976).

260996400 is an abundant number, since it is smaller than the sum of its proper divisors (774223552).

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

260996400 is a wasteful number, since it uses less digits than its factorization.

260996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 260996400 is about 16155.3830038164. The cubic root of 260996400 is about 639.0647145843.

The spelling of 260996400 in words is "two hundred sixty million, nine hundred ninety-six thousand, four hundred".