420433440 has 192 divisors, whose sum is σ = 1525112064. Its totient is φ = 95367168.

The previous prime is 420433381. The next prime is 420433451. The reversal of 420433440 is 44334024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420433440.

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, 527122 + ... + 527918.

It is an arithmetic number, because the mean of its divisors is an integer number (7943292).

Almost surely, 2^420433440 is an apocalyptic number.

420433440 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 420433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762556032).

420433440 is an abundant number, since it is smaller than the sum of its proper divisors (1104678624).

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

420433440 is a wasteful number, since it uses less digits than its factorization.

420433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 971 counting only the distinct ones).

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

The square root of 420433440 is about 20504.4736582044. The cubic root of 420433440 is about 749.1447673624.

Adding to 420433440 its reverse (44334024), we get a palindrome (464767464).

The spelling of 420433440 in words is "four hundred twenty million, four hundred thirty-three thousand, four hundred forty".