260428824 has 64 divisors (see below), whose sum is σ = 725474400. Its totient is φ = 86562432.

The previous prime is 260428823. The next prime is 260428841. The reversal of 260428824 is 428824062.

It is a happy number.

260428824 is a `hidden beast` number, since 2 + 604 + 28 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260428823) 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 15 ways as a sum of consecutive naturals, for example, 84234 + ... + 87270.

Almost surely, 2^260428824 is an apocalyptic number.

260428824 is a gapful number since it is divisible by the number (24) 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 260428824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362737200).

260428824 is an abundant number, since it is smaller than the sum of its proper divisors (465045576).

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

260428824 is a wasteful number, since it uses less digits than its factorization.

260428824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 260428824 is about 16137.8072859977. The cubic root of 260428824 is about 638.6011308711.

The spelling of 260428824 in words is "two hundred sixty million, four hundred twenty-eight thousand, eight hundred twenty-four".