431997120 has 168 divisors, whose sum is σ = 1510863120. Its totient is φ = 113264640.

The previous prime is 431997119. The next prime is 431997133. The reversal of 431997120 is 21799134.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174451 + ... + 176909.

Almost surely, 2^431997120 is an apocalyptic number.

431997120 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 431997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755431560).

431997120 is an abundant number, since it is smaller than the sum of its proper divisors (1078866000).

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

431997120 is a wasteful number, since it uses less digits than its factorization.

431997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 431997120 is about 20784.5404086788. The cubic root of 431997120 is about 755.9509500385.

The spelling of 431997120 in words is "four hundred thirty-one million, nine hundred ninety-seven thousand, one hundred twenty".