420605400 has 48 divisors (see below), whose sum is σ = 1303878600. Its totient is φ = 112161280.

The previous prime is 420605399. The next prime is 420605411. The reversal of 420605400 is 4506024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349905 + ... + 351104.

Almost surely, 2^420605400 is an apocalyptic number.

420605400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420605400 is an abundant number, since it is smaller than the sum of its proper divisors (883273200).

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

420605400 is a wasteful number, since it uses less digits than its factorization.

420605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701028 (or 701019 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420605400 is about 20508.6664607916. Note that the first 3 decimals coincide. The cubic root of 420605400 is about 749.2468884616.

The spelling of 420605400 in words is "four hundred twenty million, six hundred five thousand, four hundred".