46633104 has 120 divisors (see below), whose sum is σ = 155778720. Its totient is φ = 13317696.

The previous prime is 46633099. The next prime is 46633109. The reversal of 46633104 is 40133664.

It is an interprime number because it is at equal distance from previous prime (46633099) and next prime (46633109).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46633109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20067 + ... + 22269.

It is an arithmetic number, because the mean of its divisors is an integer number (1298156).

Almost surely, 2^46633104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46633104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77889360).

46633104 is an abundant number, since it is smaller than the sum of its proper divisors (109145616).

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

46633104 is a wasteful number, since it uses less digits than its factorization.

46633104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 46633104 is about 6828.8435331321. The cubic root of 46633104 is about 359.9411014754.

Adding to 46633104 its reverse (40133664), we get a palindrome (86766768).

The spelling of 46633104 in words is "forty-six million, six hundred thirty-three thousand, one hundred four".