46866864 has 80 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 13812480.

The previous prime is 46866857. The next prime is 46866877.

46866864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18337 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^46866864 is an apocalyptic number.

46866864 is a gapful number since it is divisible by the number (44) 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 46866864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

46866864 is an abundant number, since it is smaller than the sum of its proper divisors (88838736).

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

46866864 is a wasteful number, since it uses less digits than its factorization.

46866864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 46866864 is about 6845.9377735998. The cubic root of 46866864 is about 360.5415306720.

The spelling of 46866864 in words is "forty-six million, eight hundred sixty-six thousand, eight hundred sixty-four".