420480672 has 48 divisors (see below), whose sum is σ = 1105820352. Its totient is φ = 139898880.

The previous prime is 420480647. The next prime is 420480679. The reversal of 420480672 is 276084024.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (420480679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51597 + ... + 59187.

It is an arithmetic number, because the mean of its divisors is an integer number (23037924).

Almost surely, 2^420480672 is an apocalyptic number.

It is an amenable number.

420480672 is an abundant number, since it is smaller than the sum of its proper divisors (685339680).

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

420480672 is a wasteful number, since it uses less digits than its factorization.

420480672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 420480672 is about 20505.6253745161. The cubic root of 420480672 is about 749.1728195877.

The spelling of 420480672 in words is "four hundred twenty million, four hundred eighty thousand, six hundred seventy-two".