260406432 has 144 divisors (see below), whose sum is σ = 870131808. Its totient is φ = 72829440.

The previous prime is 260406431. The next prime is 260406439. The reversal of 260406432 is 234604062.

260406432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 260406396 and 260406405.

It is not an unprimeable number, because it can be changed into a prime (260406431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38023 + ... + 44345.

It is an arithmetic number, because the mean of its divisors is an integer number (6042582).

Almost surely, 2^260406432 is an apocalyptic number.

260406432 is a gapful number since it is divisible by the number (22) 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 260406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435065904).

260406432 is an abundant number, since it is smaller than the sum of its proper divisors (609725376).

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

260406432 is a wasteful number, since it uses less digits than its factorization.

260406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 260406432 is about 16137.1134965334. The cubic root of 260406432 is about 638.5828277687.

The spelling of 260406432 in words is "two hundred sixty million, four hundred six thousand, four hundred thirty-two".