260723400 has 192 divisors, whose sum is σ = 964224000. Its totient is φ = 56981760.

The previous prime is 260723399. The next prime is 260723401. The reversal of 260723400 is 4327062.

It is an interprime number because it is at equal distance from previous prime (260723399) and next prime (260723401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (260723401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95251 + ... + 97949.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^260723400 is an apocalyptic number.

260723400 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 260723400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

260723400 is an abundant number, since it is smaller than the sum of its proper divisors (703500600).

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

260723400 is a wasteful number, since it uses less digits than its factorization.

260723400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 260723400 is about 16146.9315970558. The cubic root of 260723400 is about 638.8418181102.

The spelling of 260723400 in words is "two hundred sixty million, seven hundred twenty-three thousand, four hundred".