260407820 has 48 divisors (see below), whose sum is σ = 568239840. Its totient is φ = 100122624.

The previous prime is 260407811. The next prime is 260407831. The reversal of 260407820 is 28704062.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148187 + ... + 149933.

It is an arithmetic number, because the mean of its divisors is an integer number (11838330).

Almost surely, 2^260407820 is an apocalyptic number.

260407820 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 260407820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284119920).

260407820 is an abundant number, since it is smaller than the sum of its proper divisors (307832020).

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

260407820 is a wasteful number, since it uses less digits than its factorization.

260407820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 260407820 is about 16137.1565029283. The cubic root of 260407820 is about 638.5839623430.

The spelling of 260407820 in words is "two hundred sixty million, four hundred seven thousand, eight hundred twenty".