472787 has 16 divisors (see below), whose sum is σ = 596160. Its totient is φ = 365568.

The previous prime is 472763. The next prime is 472793. The reversal of 472787 is 787274.

It is not a de Polignac number, because 472787 - 2¹² = 468691 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472787.

It is not an unprimeable number, because it can be changed into a prime (472687) 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, 3383 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2⁴⁷²⁷⁸⁷ is an apocalyptic number.

472787 is a deficient number, since it is larger than the sum of its proper divisors (123373).

472787 is a wasteful number, since it uses less digits than its factorization.

472787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its digits is 21952, while the sum is 35.

The square root of 472787 is about 687.5950843338. The cubic root of 472787 is about 77.9031781328.

The spelling of 472787 in words is "four hundred seventy-two thousand, seven hundred eighty-seven".