424201320 has 256 divisors, whose sum is σ = 1478476800. Its totient is φ = 108103680.

The previous prime is 424201307. The next prime is 424201331. The reversal of 424201320 is 23102424.

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 = 424201293 and 424201302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3096292 + ... + 3096428.

It is an arithmetic number, because the mean of its divisors is an integer number (5775300).

Almost surely, 2^424201320 is an apocalyptic number.

424201320 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 424201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739238400).

424201320 is an abundant number, since it is smaller than the sum of its proper divisors (1054275480).

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

424201320 is a wasteful number, since it uses less digits than its factorization.

424201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

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

The square root of 424201320 is about 20596.1481835803. The cubic root of 424201320 is about 751.3760338305.

Adding to 424201320 its reverse (23102424), we get a palindrome (447303744).

The spelling of 424201320 in words is "four hundred twenty-four million, two hundred one thousand, three hundred twenty".