420476672 has 144 divisors (see below), whose sum is σ = 1063141632. Its totient is φ = 161218560.

The previous prime is 420476629. The next prime is 420476677. The reversal of 420476672 is 276674024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420476677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635968 + ... + 1636224.

It is an arithmetic number, because the mean of its divisors is an integer number (7382928).

Almost surely, 2^420476672 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 420476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531570816).

420476672 is an abundant number, since it is smaller than the sum of its proper divisors (642664960).

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

420476672 is a wasteful number, since it uses less digits than its factorization.

420476672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 420476672 is about 20505.5278400728. The cubic root of 420476672 is about 749.1704439725.

The spelling of 420476672 in words is "four hundred twenty million, four hundred seventy-six thousand, six hundred seventy-two".