462884 has 12 divisors (see below), whose sum is σ = 819084. Its totient is φ = 228864.

The previous prime is 462881. The next prime is 462887. The reversal of 462884 is 488264.

It is an interprime number because it is at equal distance from previous prime (462881) and next prime (462887).

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 240100 = 472^2 + 490^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4⁶ + 6² + 8⁵ + 2¹⁷ + 8⁵ + 4⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 462884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (68257).

2⁴⁶²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

462884 is a deficient number, since it is larger than the sum of its proper divisors (356200).

462884 is a wasteful number, since it uses less digits than its factorization.

462884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 462884 is about 680.3557892750. The cubic root of 462884 is about 77.3554154802.

The spelling of 462884 in words is "four hundred sixty-two thousand, eight hundred eighty-four".