420440832 has 216 divisors, whose sum is σ = 1403001600. Its totient is φ = 118609920.

The previous prime is 420440831. The next prime is 420440833. The reversal of 420440832 is 238044024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420440831) and next prime (420440833).

It is a junction number, because it is equal to n+sod(n) for n = 420440796 and 420440805.

It is not an unprimeable number, because it can be changed into a prime (420440831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112669 + ... + 2112867.

Almost surely, 2^420440832 is an apocalyptic number.

420440832 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 420440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701500800).

420440832 is an abundant number, since it is smaller than the sum of its proper divisors (982560768).

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

420440832 is a wasteful number, since it uses less digits than its factorization.

420440832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420440832 is about 20504.6539107589. The cubic root of 420440832 is about 749.1491577884.

Adding to 420440832 its reverse (238044024), we get a palindrome (658484856).

The spelling of 420440832 in words is "four hundred twenty million, four hundred forty thousand, eight hundred thirty-two".