431978501 has 16 divisors (see below), whose sum is σ = 448996800. Its totient is φ = 415324800.

The previous prime is 431978467. The next prime is 431978507. The reversal of 431978501 is 105879134.

It is a cyclic number.

It is not a de Polignac number, because 431978501 - 2¹⁴ = 431962117 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431978507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304906 + ... + 1305236.

It is an arithmetic number, because the mean of its divisors is an integer number (28062300).

Almost surely, 2^431978501 is an apocalyptic number.

431978501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431978501 is a deficient number, since it is larger than the sum of its proper divisors (17018299).

431978501 is a wasteful number, since it uses less digits than its factorization.

431978501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 431978501 is about 20784.0924988319. The cubic root of 431978501 is about 755.9400894314.

The spelling of 431978501 in words is "four hundred thirty-one million, nine hundred seventy-eight thousand, five hundred one".