46866600 has 240 divisors, whose sum is σ = 178247520. Its totient is φ = 11318400.

The previous prime is 46866593. The next prime is 46866601. The reversal of 46866600 is 666864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46866601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178069 + ... + 178331.

It is an arithmetic number, because the mean of its divisors is an integer number (742698).

Almost surely, 2^46866600 is an apocalyptic number.

46866600 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 46866600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89123760).

46866600 is an abundant number, since it is smaller than the sum of its proper divisors (131380920).

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

46866600 is a wasteful number, since it uses less digits than its factorization.

46866600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 46866600 is about 6845.9184920652. The cubic root of 46866600 is about 360.5408536966.

The spelling of 46866600 in words is "forty-six million, eight hundred sixty-six thousand, six hundred".