420470406 has 32 divisors (see below), whose sum is σ = 975006720. Its totient is φ = 134062632.

The previous prime is 420470371. The next prime is 420470423. The reversal of 420470406 is 604074024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 420470406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168030 + ... + 170513.

It is an arithmetic number, because the mean of its divisors is an integer number (30468960).

Almost surely, 2^420470406 is an apocalyptic number.

420470406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

420470406 is an abundant number, since it is smaller than the sum of its proper divisors (554536314).

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

420470406 is a wasteful number, since it uses less digits than its factorization.

420470406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338577 (or 338571 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 420470406 is about 20505.3750514347. The cubic root of 420470406 is about 749.1667225411.

The spelling of 420470406 in words is "four hundred twenty million, four hundred seventy thousand, four hundred six".