431780401 has 8 divisors (see below), whose sum is σ = 466036200. Its totient is φ = 397673472.

The previous prime is 431780383. The next prime is 431780413. The reversal of 431780401 is 104087134.

It can be written as a sum of positive squares in 4 ways, for example, as 57744801 + 374035600 = 7599^2 + 19340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-431780401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431780401.

It is not an unprimeable number, because it can be changed into a prime (431780441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31150 + ... + 42823.

It is an arithmetic number, because the mean of its divisors is an integer number (58254525).

Almost surely, 2^431780401 is an apocalyptic number.

It is an amenable number.

431780401 is a deficient number, since it is larger than the sum of its proper divisors (34255799).

431780401 is a wasteful number, since it uses less digits than its factorization.

431780401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74435.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 431780401 is about 20779.3262884050. The cubic root of 431780401 is about 755.8245168364.

It can be divided in two parts, 43178040 and 1, that added together give a square (43178041 = 6571²).

The spelling of 431780401 in words is "four hundred thirty-one million, seven hundred eighty thousand, four hundred one".