46577648 has 40 divisors (see below), whose sum is σ = 98806176. Its totient is φ = 21139200.

The previous prime is 46577639. The next prime is 46577659. The reversal of 46577648 is 84677564.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10853 + ... + 14523.

Almost surely, 2^46577648 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 46577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49403088).

46577648 is an abundant number, since it is smaller than the sum of its proper divisors (52228528).

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

46577648 is a wasteful number, since it uses less digits than its factorization.

46577648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3747 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The square root of 46577648 is about 6824.7819012771. The cubic root of 46577648 is about 359.7983644515.

The spelling of 46577648 in words is "forty-six million, five hundred seventy-seven thousand, six hundred forty-eight".