46630752 has 144 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 12714240.

The previous prime is 46630739. The next prime is 46630757. The reversal of 46630752 is 25703664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46630757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107977 + ... + 108407.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 2^46630752 is an apocalyptic number.

46630752 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 46630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

46630752 is an abundant number, since it is smaller than the sum of its proper divisors (102295200).

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

46630752 is a wasteful number, since it uses less digits than its factorization.

46630752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 46630752 is about 6828.6713202496. The cubic root of 46630752 is about 359.9350500110.

The spelling of 46630752 in words is "forty-six million, six hundred thirty thousand, seven hundred fifty-two".