420976820 has 96 divisors (see below), whose sum is σ = 1013354496. Its totient is φ = 145411200.

The previous prime is 420976819. The next prime is 420976823. The reversal of 420976820 is 28679024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420976823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371107 + ... + 1371413.

It is an arithmetic number, because the mean of its divisors is an integer number (10555776).

Almost surely, 2^420976820 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 420976820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506677248).

420976820 is an abundant number, since it is smaller than the sum of its proper divisors (592377676).

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

420976820 is a wasteful number, since it uses less digits than its factorization.

420976820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 420976820 is about 20517.7196588705. The cubic root of 420976820 is about 749.4673670109.

The spelling of 420976820 in words is "four hundred twenty million, nine hundred seventy-six thousand, eight hundred twenty".