4230400320 has 84 divisors (see below), whose sum is σ = 14550824340. Its totient is φ = 1128105984.

The previous prime is 4230400319. The next prime is 4230400333. The reversal of 4230400320 is 230040324.

4230400320 is a `hidden beast` number, since 4 + 230 + 400 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 970447104 + 3259953216 = 31152^2 + 57096^2 .

It is a super-2 number, since 2×4230400320² = 35792573734912204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4230400293 and 4230400302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731565 + ... + 737324.

Almost surely, 2^4230400320 is an apocalyptic number.

4230400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4230400320 is an abundant number, since it is smaller than the sum of its proper divisors (10320424020).

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

4230400320 is a wasteful number, since it uses less digits than its factorization.

4230400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468912 (or 1468899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4230400320 is about 65041.5276573360. The cubic root of 4230400320 is about 1617.3120491711.

Adding to 4230400320 its reverse (230040324), we get a palindrome (4460440644).

It can be divided in two parts, 4230 and 400320, that added together give a triangular number (404550 = T₈₉₉).

The spelling of 4230400320 in words is "four billion, two hundred thirty million, four hundred thousand, three hundred twenty".