46606000 has 80 divisors (see below), whose sum is σ = 128831040. Its totient is φ = 15974400.

The previous prime is 46605997. The next prime is 46606019. The reversal of 46606000 is 60664.

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

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, 12336 + ... + 15664.

It is an arithmetic number, because the mean of its divisors is an integer number (1610388).

Almost surely, 2^46606000 is an apocalyptic number.

46606000 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 46606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64415520).

46606000 is an abundant number, since it is smaller than the sum of its proper divisors (82225040).

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

46606000 is a wasteful number, since it uses less digits than its factorization.

46606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 46606000 is about 6826.8587212568. The cubic root of 46606000 is about 359.8713532102.

Adding to 46606000 its reverse (60664), we get a palindrome (46666664).

The spelling of 46606000 in words is "forty-six million, six hundred six thousand".