4662000 has 240 divisors, whose sum is σ = 19111872. Its totient is φ = 1036800.

The previous prime is 4661989. The next prime is 4662019. The reversal of 4662000 is 2664.

4662000 is a `hidden beast` number, since 4 + 662 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125982 + ... + 126018.

Almost surely, 2^4662000 is an apocalyptic number.

4662000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555936).

4662000 is an abundant number, since it is smaller than the sum of its proper divisors (14449872).

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

4662000 is a wasteful number, since it uses less digits than its factorization.

4662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4662000 is about 2159.1665058536. The cubic root of 4662000 is about 167.0542092770.

Adding to 4662000 its reverse (2664), we get a palindrome (4664664).

The spelling of 4662000 in words is "four million, six hundred sixty-two thousand".