46416384 has 120 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 13252608.

The previous prime is 46416379. The next prime is 46416397. The reversal of 46416384 is 48361464.

46416384 is a `hidden beast` number, since 4 + 641 + 6 + 3 + 8 + 4 = 666.

It is a super-3 number, since 3×46416384³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 31537 + ... + 32975.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^46416384 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 46416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

46416384 is an abundant number, since it is smaller than the sum of its proper divisors (106788096).

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

46416384 is a wasteful number, since it uses less digits than its factorization.

46416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1451 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 46416384 is about 6812.9570672359. The cubic root of 46416384 is about 359.3826456244.

It can be divided in two parts, 4641 and 6384, that added together give a square (11025 = 105²).

The spelling of 46416384 in words is "forty-six million, four hundred sixteen thousand, three hundred eighty-four".