431976 has 32 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 140160.

The previous prime is 431947. The next prime is 431983. The reversal of 431976 is 679134.

It is a happy number.

431976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁴³¹⁹⁷⁶ 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 431976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

431976 is an abundant number, since it is smaller than the sum of its proper divisors (676824).

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

431976 is a wasteful number, since it uses less digits than its factorization.

431976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 431976 is about 657.2488113340. The cubic root of 431976 is about 75.5938630555.

The spelling of 431976 in words is "four hundred thirty-one thousand, nine hundred seventy-six".