46384272 has 160 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 13668480.

The previous prime is 46384271. The next prime is 46384291. The reversal of 46384272 is 27248364.

46384272 is a `hidden beast` number, since 4 + 6 + 384 + 272 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46384271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204223 + ... + 204449.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^46384272 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 46384272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

46384272 is an abundant number, since it is smaller than the sum of its proper divisors (102891888).

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

46384272 is a wasteful number, since it uses less digits than its factorization.

46384272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 46384272 is about 6810.5999735706. The cubic root of 46384272 is about 359.2997499104.

It can be divided in two parts, 46384 and 272, that added together give a 6-th power (46656 = 6⁶).

The spelling of 46384272 in words is "forty-six million, three hundred eighty-four thousand, two hundred seventy-two".