462088 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 204160.

The previous prime is 462079. The next prime is 462097. The reversal of 462088 is 880264.

It is an interprime number because it is at equal distance from previous prime (462079) and next prime (462097).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5148 + ... + 5236.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴⁶²⁰⁸⁸ 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 462088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

462088 is an abundant number, since it is smaller than the sum of its proper divisors (509912).

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

462088 is a wasteful number, since it uses less digits than its factorization.

462088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 462088 is about 679.7705495239. The cubic root of 462088 is about 77.3110485399.

It can be divided in two parts, 46208 and 8, that multiplied together give a square (369664 = 608²).

The spelling of 462088 in words is "four hundred sixty-two thousand, eighty-eight".