420876864 has 112 divisors (see below), whose sum is σ = 1246266240. Its totient is φ = 139276800.

The previous prime is 420876851. The next prime is 420876877. The reversal of 420876864 is 468678024.

It is an interprime number because it is at equal distance from previous prime (420876851) and next prime (420876877).

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, 260122 + ... + 261734.

Almost surely, 2^420876864 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 420876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623133120).

420876864 is an abundant number, since it is smaller than the sum of its proper divisors (825389376).

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

420876864 is a wasteful number, since it uses less digits than its factorization.

420876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 420876864 is about 20515.2836685238. The cubic root of 420876864 is about 749.4080449085.

The spelling of 420876864 in words is "four hundred twenty million, eight hundred seventy-six thousand, eight hundred sixty-four".