462978 has 36 divisors (see below), whose sum is σ = 1077570. Its totient is φ = 143616.

The previous prime is 462953. The next prime is 462983. The reversal of 462978 is 879264.

462978 = 2⁸ + 3⁸ + ... + 5⁸.

462978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 431649 + 31329 = 657^2 + 177^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5158 + ... + 5246.

2⁴⁶²⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538785).

462978 is an abundant number, since it is smaller than the sum of its proper divisors (614592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

462978 is a wasteful number, since it uses less digits than its factorization.

462978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 462978 is about 680.4248672704. The cubic root of 462978 is about 77.3606514334.

The spelling of 462978 in words is "four hundred sixty-two thousand, nine hundred seventy-eight".