260400000 has 384 divisors, whose sum is σ = 1019934720. Its totient is φ = 57600000.

The previous prime is 260399983. The next prime is 260400013. The reversal of 260400000 is 4062.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 8399985 + ... + 8400015.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^260400000 is an apocalyptic number.

260400000 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 260400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360).

260400000 is an abundant number, since it is smaller than the sum of its proper divisors (759534720).

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

260400000 is an frugal number, since it uses more digits than its factorization.

260400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 260400000 is about 16136.9142031554. The cubic root of 260400000 is about 638.5775700919.

Adding to 260400000 its reverse (4062), we get a palindrome (260404062).

The spelling of 260400000 in words is "two hundred sixty million, four hundred thousand".