431376 has 80 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 120960.

The previous prime is 431369. The next prime is 431377. The reversal of 431376 is 673134.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1512) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (431377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10011 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2⁴³¹³⁷⁶ 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 431376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

431376 is an abundant number, since it is smaller than the sum of its proper divisors (878064).

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

431376 is a wasteful number, since it uses less digits than its factorization.

431376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 431376 is about 656.7922045822. The cubic root of 431376 is about 75.5588477356.

The spelling of 431376 in words is "four hundred thirty-one thousand, three hundred seventy-six".