462399 has 16 divisors (see below), whose sum is σ = 715008. Its totient is φ = 260352.

The previous prime is 462377. The next prime is 462401. The reversal of 462399 is 993264.

It is a Cunningham number, because it is equal to 680²-1.

It is not a de Polignac number, because 462399 - 2⁷ = 462271 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462199) 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, 1924 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁴⁶²³⁹⁹ is an apocalyptic number.

462399 is a deficient number, since it is larger than the sum of its proper divisors (252609).

462399 is a wasteful number, since it uses less digits than its factorization.

462399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334.

The product of its digits is 11664, while the sum is 33.

The square root of 462399 is about 679.9992647055. Note that the first 3 decimals coincide. The cubic root of 462399 is about 77.3283889196.

It can be divided in two parts, 462 and 399, that added together give a triangular number (861 = T₄₁).

The spelling of 462399 in words is "four hundred sixty-two thousand, three hundred ninety-nine".