428803461 has 36 divisors (see below), whose sum is σ = 674175684. Its totient is φ = 262425600.

The previous prime is 428803451. The next prime is 428803469. The reversal of 428803461 is 164308824.

It can be written as a sum of positive squares in 6 ways, for example, as 27562500 + 401240961 = 5250^2 + 20031^2 .

It is not a de Polignac number, because 428803461 - 2⁵ = 428803429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428803469) 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 35 ways as a sum of consecutive naturals, for example, 104631 + ... + 108651.

Almost surely, 2^428803461 is an apocalyptic number.

428803461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

428803461 is a deficient number, since it is larger than the sum of its proper divisors (245372223).

428803461 is a wasteful number, since it uses less digits than its factorization.

428803461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 428803461 is about 20707.5701375125. The cubic root of 428803461 is about 754.0834812244.

The spelling of 428803461 in words is "four hundred twenty-eight million, eight hundred three thousand, four hundred sixty-one".