46042752 has 96 divisors (see below), whose sum is σ = 142326720. Its totient is φ = 13149696.

The previous prime is 46042729. The next prime is 46042753. The reversal of 46042752 is 25724064.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (46042753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17593 + ... + 20039.

It is an arithmetic number, because the mean of its divisors is an integer number (1482570).

Almost surely, 2^46042752 is an apocalyptic number.

46042752 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 46042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71163360).

46042752 is an abundant number, since it is smaller than the sum of its proper divisors (96283968).

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

46042752 is a wasteful number, since it uses less digits than its factorization.

46042752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 46042752 is about 6785.4809704250. The cubic root of 46042752 is about 358.4157545158.

The spelling of 46042752 in words is "forty-six million, forty-two thousand, seven hundred fifty-two".