462782166 has 72 divisors (see below), whose sum is σ = 1183545720. Its totient is φ = 120193920.

The previous prime is 462782147. The next prime is 462782171. The reversal of 462782166 is 661287264.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29070 + ... + 42078.

It is an arithmetic number, because the mean of its divisors is an integer number (16438135).

Almost surely, 2^462782166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462782166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591772860).

462782166 is an abundant number, since it is smaller than the sum of its proper divisors (720763554).

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

462782166 is a wasteful number, since it uses less digits than its factorization.

462782166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13050 (or 13032 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 462782166 is about 21512.3723935785. The cubic root of 462782166 is about 773.4974236041.

The spelling of 462782166 in words is "four hundred sixty-two million, seven hundred eighty-two thousand, one hundred sixty-six".