46881504 has 72 divisors (see below), whose sum is σ = 138279960. Its totient is φ = 15624576.

The previous prime is 46881467. The next prime is 46881533. The reversal of 46881504 is 40518864.

46881504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 4762 + ... + 10790.

It is an arithmetic number, because the mean of its divisors is an integer number (1920555).

Almost surely, 2^46881504 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 46881504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69139980).

46881504 is an abundant number, since it is smaller than the sum of its proper divisors (91398456).

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

46881504 is an equidigital number, since it uses as much as digits as its factorization.

46881504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 46881504 is about 6847.0069373413. The cubic root of 46881504 is about 360.5790680567.

The spelling of 46881504 in words is "forty-six million, eight hundred eighty-one thousand, five hundred four".