420273920 has 144 divisors (see below), whose sum is σ = 1156740480. Its totient is φ = 144691200.

The previous prime is 420273911. The next prime is 420273947. The reversal of 420273920 is 29372024.

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 15 ways as a sum of consecutive naturals, for example, 266735 + ... + 268305.

It is an arithmetic number, because the mean of its divisors is an integer number (8032920).

Almost surely, 2^420273920 is an apocalyptic number.

420273920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578370240).

420273920 is an abundant number, since it is smaller than the sum of its proper divisors (736466560).

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

420273920 is a wasteful number, since it uses less digits than its factorization.

420273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 420273920 is about 20500.5834063326. The cubic root of 420273920 is about 749.0500090495.

The spelling of 420273920 in words is "four hundred twenty million, two hundred seventy-three thousand, nine hundred twenty".