46393776 has 160 divisors (see below), whose sum is σ = 156656640. Its totient is φ = 12960000.

The previous prime is 46393771. The next prime is 46393793. The reversal of 46393776 is 67739364.

46393776 is a `hidden beast` number, since 4 + 639 + 3 + 7 + 7 + 6 = 666.

46393776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46393771) 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 31 ways as a sum of consecutive naturals, for example, 61401 + ... + 62151.

It is an arithmetic number, because the mean of its divisors is an integer number (979104).

Almost surely, 2^46393776 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 46393776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78328320).

46393776 is an abundant number, since it is smaller than the sum of its proper divisors (110262864).

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

46393776 is a wasteful number, since it uses less digits than its factorization.

46393776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 46393776 is about 6811.2976737183. The cubic root of 46393776 is about 359.3242880529.

The spelling of 46393776 in words is "forty-six million, three hundred ninety-three thousand, seven hundred seventy-six".