431202420 has 192 divisors, whose sum is σ = 1474502400. Its totient is φ = 103749120.

The previous prime is 431202407. The next prime is 431202437. The reversal of 431202420 is 24202134.

431202420 is a `hidden beast` number, since 43 + 1 + 202 + 420 = 666.

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 = 431202393 and 431202402.

It is a congruent number.

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, 1360102 + ... + 1360418.

It is an arithmetic number, because the mean of its divisors is an integer number (7679700).

Almost surely, 2^431202420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737251200).

431202420 is an abundant number, since it is smaller than the sum of its proper divisors (1043299980).

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

431202420 is a wasteful number, since it uses less digits than its factorization.

431202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

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

The square root of 431202420 is about 20765.4140339171. The cubic root of 431202420 is about 755.4871174875.

Adding to 431202420 its reverse (24202134), we get a palindrome (455404554).

The spelling of 431202420 in words is "four hundred thirty-one million, two hundred two thousand, four hundred twenty".