420403392 has 112 divisors (see below), whose sum is σ = 1247424480. Its totient is φ = 138829824.

The previous prime is 420403349. The next prime is 420403393. The reversal of 420403392 is 293304024.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (420403393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194188 + ... + 196340.

Almost surely, 2^420403392 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 420403392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623712240).

420403392 is an abundant number, since it is smaller than the sum of its proper divisors (827021088).

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

420403392 is a wasteful number, since it uses less digits than its factorization.

420403392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 420403392 is about 20503.7409269626. The cubic root of 420403392 is about 749.1269200362.

The spelling of 420403392 in words is "four hundred twenty million, four hundred three thousand, three hundred ninety-two".