46233360 has 120 divisors (see below), whose sum is σ = 156638040. Its totient is φ = 12220416.

The previous prime is 46233347. The next prime is 46233361. The reversal of 46233360 is 6333264.

46233360 is a `hidden beast` number, since 4 + 623 + 3 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9072144 + 37161216 = 3012^2 + 6096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (46233361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112836 + ... + 113244.

It is an arithmetic number, because the mean of its divisors is an integer number (1305317).

Almost surely, 2^46233360 is an apocalyptic number.

46233360 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 46233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78319020).

46233360 is an abundant number, since it is smaller than the sum of its proper divisors (110404680).

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

46233360 is a wasteful number, since it uses less digits than its factorization.

46233360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 46233360 is about 6799.5117471771. The cubic root of 46233360 is about 358.9096639840.

The spelling of 46233360 in words is "forty-six million, two hundred thirty-three thousand, three hundred sixty".