260393100 has 144 divisors (see below), whose sum is σ = 865361280. Its totient is φ = 59788800.

The previous prime is 260393083. The next prime is 260393101. The reversal of 260393100 is 1393062.

It is a super-2 number, since 2×260393100² = 135609133055220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260393101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60624 + ... + 64776.

Almost surely, 2^260393100 is an apocalyptic number.

260393100 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 260393100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432680640).

260393100 is an abundant number, since it is smaller than the sum of its proper divisors (604968180).

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

260393100 is a wasteful number, since it uses less digits than its factorization.

260393100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 260393100 is about 16136.7004062169. The cubic root of 260393100 is about 638.5719297640.

It can be divided in two parts, 2603 and 93100, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 260393100 in words is "two hundred sixty million, three hundred ninety-three thousand, one hundred".