46876752 has 160 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 13547520.

The previous prime is 46876727. The next prime is 46876757. The reversal of 46876752 is 25767864.

It is a super-3 number, since 3×46876752³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46876698 and 46876707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46876757) 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, 95227 + ... + 95717.

It is an arithmetic number, because the mean of its divisors is an integer number (960876).

Almost surely, 2^46876752 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 46876752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

46876752 is an abundant number, since it is smaller than the sum of its proper divisors (106863408).

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

46876752 is a wasteful number, since it uses less digits than its factorization.

46876752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 46876752 is about 6846.6599156085. The cubic root of 46876752 is about 360.5668846475.

The spelling of 46876752 in words is "forty-six million, eight hundred seventy-six thousand, seven hundred fifty-two".