431200320 has 224 divisors, whose sum is σ = 1457187840. Its totient is φ = 107796480.

The previous prime is 431200313. The next prime is 431200327. The reversal of 431200320 is 23002134.

It is an interprime number because it is at equal distance from previous prime (431200313) and next prime (431200327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 431200320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431200327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302555 + ... + 1302885.

Almost surely, 2^431200320 is an apocalyptic number.

431200320 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 431200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728593920).

431200320 is an abundant number, since it is smaller than the sum of its proper divisors (1025987520).

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

431200320 is a wasteful number, since it uses less digits than its factorization.

431200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 431200320 is about 20765.3634690077. The cubic root of 431200320 is about 755.4858910522.

Adding to 431200320 its reverse (23002134), we get a palindrome (454202454).

The spelling of 431200320 in words is "four hundred thirty-one million, two hundred thousand, three hundred twenty".