4646000 has 80 divisors (see below), whose sum is σ = 11838528. Its totient is φ = 1760000.

The previous prime is 4645999. The next prime is 4646017. The reversal of 4646000 is 6464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45950 + ... + 46050.

Almost surely, 2^4646000 is an apocalyptic number.

4646000 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 4646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919264).

4646000 is an abundant number, since it is smaller than the sum of its proper divisors (7192528).

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

4646000 is a wasteful number, since it uses less digits than its factorization.

4646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4646000 is about 2155.4581879498. The cubic root of 4646000 is about 166.8628800224.

The spelling of 4646000 in words is "four million, six hundred forty-six thousand".