420430332 has 96 divisors (see below), whose sum is σ = 1193246208. Its totient is φ = 112472064.

The previous prime is 420430327. The next prime is 420430343. The reversal of 420430332 is 233034024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 420430299 and 420430308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323508 + ... + 324804.

It is an arithmetic number, because the mean of its divisors is an integer number (12429648).

Almost surely, 2^420430332 is an apocalyptic number.

420430332 is a gapful number since it is divisible by the number (42) 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 420430332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596623104).

420430332 is an abundant number, since it is smaller than the sum of its proper divisors (772815876).

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

420430332 is a wasteful number, since it uses less digits than its factorization.

420430332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 420430332 is about 20504.3978697254. The cubic root of 420430332 is about 749.1429213725.

Adding to 420430332 its reverse (233034024), we get a palindrome (653464356).

The spelling of 420430332 in words is "four hundred twenty million, four hundred thirty thousand, three hundred thirty-two".