46483360 has 180 divisors, whose sum is σ = 140817474. Its totient is φ = 14488320.

The previous prime is 46483351. The next prime is 46483361. The reversal of 46483360 is 6338464.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 4648336 = 6468^2 + 2156^2 .

It is not an unprimeable number, because it can be changed into a prime (46483361) 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 29 ways as a sum of consecutive naturals, for example, 4225755 + ... + 4225765.

Almost surely, 2^46483360 is an apocalyptic number.

46483360 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 46483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70408737).

46483360 is an abundant number, since it is smaller than the sum of its proper divisors (94334114).

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

46483360 is an equidigital number, since it uses as much as digits as its factorization.

46483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 46483360 is about 6817.8706353230. The cubic root of 46483360 is about 359.5554182683. Note that the first 3 decimals are identical.

Subtracting from 46483360 its reverse (6338464), we obtain a square (40144896 = 6336²).

It can be divided in two parts, 4648 and 3360, that added together give a palindrome (8008).

The spelling of 46483360 in words is "forty-six million, four hundred eighty-three thousand, three hundred sixty".