462166032 has 80 divisors (see below), whose sum is σ = 1261387520. Its totient is φ = 145411200.

The previous prime is 462166031. The next prime is 462166043. The reversal of 462166032 is 230661264.

It is a super-2 number, since 2×462166032² = 427194882269250048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (462166031) 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, 301107 + ... + 302637.

It is an arithmetic number, because the mean of its divisors is an integer number (15767344).

Almost surely, 2^462166032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630693760).

462166032 is an abundant number, since it is smaller than the sum of its proper divisors (799221488).

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

462166032 is a wasteful number, since it uses less digits than its factorization.

462166032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 462166032 is about 21498.0471671266. The cubic root of 462166032 is about 773.1540008927.

The spelling of 462166032 in words is "four hundred sixty-two million, one hundred sixty-six thousand, thirty-two".