428385261 has 16 divisors (see below), whose sum is σ = 619532928. Its totient is φ = 262233600.

The previous prime is 428385257. The next prime is 428385263. The reversal of 428385261 is 162583824.

It is not a de Polignac number, because 428385261 - 2² = 428385257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428385263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100345 + ... + 104526.

It is an arithmetic number, because the mean of its divisors is an integer number (38720808).

Almost surely, 2^428385261 is an apocalyptic number.

428385261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

428385261 is a deficient number, since it is larger than the sum of its proper divisors (191147667).

428385261 is a wasteful number, since it uses less digits than its factorization.

428385261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204932.

The product of its digits is 92160, while the sum is 39.

The square root of 428385261 is about 20697.4699178426. The cubic root of 428385261 is about 753.8382559903.

The spelling of 428385261 in words is "four hundred twenty-eight million, three hundred eighty-five thousand, two hundred sixty-one".