46833864 has 64 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 12164160.

The previous prime is 46833859. The next prime is 46833883.

46833864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 10824 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (2280960).

Almost surely, 2^46833864 is an apocalyptic number.

46833864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46833864 is an abundant number, since it is smaller than the sum of its proper divisors (99147576).

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

46833864 is a wasteful number, since it uses less digits than its factorization.

46833864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25370 (or 25366 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 46833864 is about 6843.5271607556. The cubic root of 46833864 is about 360.4568890361.

The spelling of 46833864 in words is "forty-six million, eight hundred thirty-three thousand, eight hundred sixty-four".