420272704 has 56 divisors (see below), whose sum is σ = 906272000. Its totient is φ = 192637440.

The previous prime is 420272663. The next prime is 420272711. The reversal of 420272704 is 407272024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32122 + ... + 43270.

Almost surely, 2^420272704 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 420272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453136000).

420272704 is an abundant number, since it is smaller than the sum of its proper divisors (485999296).

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

420272704 is a wasteful number, since it uses less digits than its factorization.

420272704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 420272704 is about 20500.5537486186. The cubic root of 420272704 is about 749.0492866273.

The spelling of 420272704 in words is "four hundred twenty million, two hundred seventy-two thousand, seven hundred four".