420928704 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 107053056.

The previous prime is 420928699. The next prime is 420928709. The reversal of 420928704 is 407829024.

It is an interprime number because it is at equal distance from previous prime (420928699) and next prime (420928709).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×420928704² = 354361947702239232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420928709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4729492 + ... + 4729580.

Almost surely, 2^420928704 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 420928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

420928704 is an abundant number, since it is smaller than the sum of its proper divisors (1159154496).

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

420928704 is a wasteful number, since it uses less digits than its factorization.

420928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 420928704 is about 20516.5470779076. The cubic root of 420928704 is about 749.4388121957.

The spelling of 420928704 in words is "four hundred twenty million, nine hundred twenty-eight thousand, seven hundred four".