46577552 has 60 divisors (see below), whose sum is σ = 109635840. Its totient is φ = 18774528.

The previous prime is 46577551. The next prime is 46577581. The reversal of 46577552 is 25577564.

46577552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46577551) by changing a digit.

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, 31649 + ... + 33087.

It is an arithmetic number, because the mean of its divisors is an integer number (1827264).

Almost surely, 2^46577552 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 46577552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817920).

46577552 is an abundant number, since it is smaller than the sum of its proper divisors (63058288).

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

46577552 is a wasteful number, since it uses less digits than its factorization.

46577552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1465 counting only the distinct ones).

The product of its digits is 294000, while the sum is 41.

The square root of 46577552 is about 6824.7748680817. The cubic root of 46577552 is about 359.7981172609.

The spelling of 46577552 in words is "forty-six million, five hundred seventy-seven thousand, five hundred fifty-two".