428364441 has 24 divisors (see below), whose sum is σ = 626700360. Its totient is φ = 281926656.

The previous prime is 428364437. The next prime is 428364451. The reversal of 428364441 is 144463824.

428364441 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 644 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128936025 + 299428416 = 11355^2 + 17304^2 .

It is not a de Polignac number, because 428364441 - 2² = 428364437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 428364396 and 428364405.

It is not an unprimeable number, because it can be changed into a prime (428364401) 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, 345675 + ... + 346911.

It is an arithmetic number, because the mean of its divisors is an integer number (26112515).

Almost surely, 2^428364441 is an apocalyptic number.

It is an amenable number.

428364441 is a deficient number, since it is larger than the sum of its proper divisors (198335919).

428364441 is a wasteful number, since it uses less digits than its factorization.

428364441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1702 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 428364441 is about 20696.9669517057. The cubic root of 428364441 is about 753.8260433333.

The spelling of 428364441 in words is "four hundred twenty-eight million, three hundred sixty-four thousand, four hundred forty-one".