46666600 has 48 divisors (see below), whose sum is σ = 108971820. Its totient is φ = 18585600.

The previous prime is 46666591. The next prime is 46666601. The reversal of 46666600 is 666664.

It can be written as a sum of positive squares in 6 ways, for example, as 21846276 + 24820324 = 4674^2 + 4982^2 .

It is not an unprimeable number, because it can be changed into a prime (46666601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70270 + ... + 70930.

Almost surely, 2^46666600 is an apocalyptic number.

46666600 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 46666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54485910).

46666600 is an abundant number, since it is smaller than the sum of its proper divisors (62305220).

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

46666600 is a wasteful number, since it uses less digits than its factorization.

46666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 46666600 is about 6831.2956311376. The cubic root of 46666600 is about 360.0272613100.

The spelling of 46666600 in words is "forty-six million, six hundred sixty-six thousand, six hundred".