46888864 has 48 divisors (see below), whose sum is σ = 103977216. Its totient is φ = 20620800.

The previous prime is 46888861. The next prime is 46888867.

46888864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46888861) and next prime (46888867).

It is not an unprimeable number, because it can be changed into a prime (46888861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8764 + ... + 13060.

It is an arithmetic number, because the mean of its divisors is an integer number (2166192).

Almost surely, 2^46888864 is an apocalyptic number.

46888864 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 46888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51988608).

46888864 is an abundant number, since it is smaller than the sum of its proper divisors (57088352).

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

46888864 is a wasteful number, since it uses less digits than its factorization.

46888864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4341 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 46888864 is about 6847.5443773662. The cubic root of 46888864 is about 360.5979363583.

The spelling of 46888864 in words is "forty-six million, eight hundred eighty-eight thousand, eight hundred sixty-four".