46579752 has 64 divisors (see below), whose sum is σ = 130896000. Its totient is φ = 15345792.

The previous prime is 46579747. The next prime is 46579769. The reversal of 46579752 is 25797564.

46579752 is a `hidden beast` number, since 4 + 6 + 579 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46579698 and 46579707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18013 + ... + 20435.

It is an arithmetic number, because the mean of its divisors is an integer number (2045250).

Almost surely, 2^46579752 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 46579752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65448000).

46579752 is an abundant number, since it is smaller than the sum of its proper divisors (84316248).

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

46579752 is a wasteful number, since it uses less digits than its factorization.

46579752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2517 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 46579752 is about 6824.9360436564. The cubic root of 46579752 is about 359.8037819597.

It can be divided in two parts, 4 and 6579752, that added together give a palindrome (6579756).

The spelling of 46579752 in words is "forty-six million, five hundred seventy-nine thousand, seven hundred fifty-two".