46609752 has 64 divisors (see below), whose sum is σ = 133689600. Its totient is φ = 13265280.

The previous prime is 46609723. The next prime is 46609781. The reversal of 46609752 is 25790664.

46609752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46609723) and next prime (46609781).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46609752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70399 + ... + 71057.

It is an arithmetic number, because the mean of its divisors is an integer number (2088900).

Almost surely, 2^46609752 is an apocalyptic number.

46609752 is a gapful number since it is divisible by the number (42) 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 46609752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66844800).

46609752 is an abundant number, since it is smaller than the sum of its proper divisors (87079848).

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

46609752 is a wasteful number, since it uses less digits than its factorization.

46609752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 46609752 is about 6827.1335126830. The cubic root of 46609752 is about 359.8810100576.

The spelling of 46609752 in words is "forty-six million, six hundred nine thousand, seven hundred fifty-two".