420828576 has 96 divisors (see below), whose sum is σ = 1278627840. Its totient is φ = 118699776.

The previous prime is 420828563. The next prime is 420828589. The reversal of 420828576 is 675828024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420828563) and next prime (420828589).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49125 + ... + 57051.

It is an arithmetic number, because the mean of its divisors is an integer number (13319040).

Almost surely, 2^420828576 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 420828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639313920).

420828576 is an abundant number, since it is smaller than the sum of its proper divisors (857799264).

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

420828576 is a wasteful number, since it uses less digits than its factorization.

420828576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 420828576 is about 20514.1067560837. The cubic root of 420828576 is about 749.3793834774.

The spelling of 420828576 in words is "four hundred twenty million, eight hundred twenty-eight thousand, five hundred seventy-six".