431997360 has 80 divisors (see below), whose sum is σ = 1346137056. Its totient is φ = 114601984.

The previous prime is 431997343. The next prime is 431997407. The reversal of 431997360 is 63799134.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42712 + ... + 51848.

Almost surely, 2^431997360 is an apocalyptic number.

431997360 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 431997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673068528).

431997360 is an abundant number, since it is smaller than the sum of its proper divisors (914139696).

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

431997360 is a wasteful number, since it uses less digits than its factorization.

431997360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 431997360 is about 20784.5461821999. The cubic root of 431997360 is about 755.9510900303.

The spelling of 431997360 in words is "four hundred thirty-one million, nine hundred ninety-seven thousand, three hundred sixty".