420310440 has 144 divisors (see below), whose sum is σ = 1501636500. Its totient is φ = 101882880.

The previous prime is 420310433. The next prime is 420310459. The reversal of 420310440 is 44013024.

It can be written as a sum of positive squares in 2 ways, for example, as 384238404 + 36072036 = 19602^2 + 6006^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38736 + ... + 48384.

Almost surely, 2^420310440 is an apocalyptic number.

420310440 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 420310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750818250).

420310440 is an abundant number, since it is smaller than the sum of its proper divisors (1081326060).

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

420310440 is a wasteful number, since it uses less digits than its factorization.

420310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9688 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420310440 is about 20501.4740933427. The cubic root of 420310440 is about 749.0717048315.

Adding to 420310440 its reverse (44013024), we get a palindrome (464323464).

The spelling of 420310440 in words is "four hundred twenty million, three hundred ten thousand, four hundred forty".