260420832 has 240 divisors, whose sum is σ = 905490432. Its totient is φ = 71850240.

The previous prime is 260420827. The next prime is 260420833. The reversal of 260420832 is 238024062.

260420832 is a `hidden beast` number, since 2 + 604 + 20 + 8 + 32 = 666.

260420832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 260420796 and 260420805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260420833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562233 + ... + 562695.

Almost surely, 2^260420832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452745216).

260420832 is an abundant number, since it is smaller than the sum of its proper divisors (645069600).

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

260420832 is a wasteful number, since it uses less digits than its factorization.

260420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 260420832 is about 16137.5596668146. The cubic root of 260420832 is about 638.5945983730.

Adding to 260420832 its reverse (238024062), we get a palindrome (498444894).

It can be divided in two parts, 2604 and 20832, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 260420832 in words is "two hundred sixty million, four hundred twenty thousand, eight hundred thirty-two".