420033444 has 48 divisors (see below), whose sum is σ = 997032960. Its totient is φ = 137602080.

The previous prime is 420033443. The next prime is 420033457. The reversal of 420033444 is 444330024.

It is a happy number.

It is a super-2 number, since 2×420033444² = 352856188157002272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420033443) 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, 373467 + ... + 374589.

It is an arithmetic number, because the mean of its divisors is an integer number (20771520).

Almost surely, 2^420033444 is an apocalyptic number.

It is an amenable number.

420033444 is an abundant number, since it is smaller than the sum of its proper divisors (576999516).

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

420033444 is a wasteful number, since it uses less digits than its factorization.

420033444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 420033444 is about 20494.7174657276. The cubic root of 420033444 is about 748.9071158013.

Adding to 420033444 its reverse (444330024), we get a palindrome (864363468).

The spelling of 420033444 in words is "four hundred twenty million, thirty-three thousand, four hundred forty-four".