46894560 has 96 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 12403200.

The previous prime is 46894531. The next prime is 46894571. The reversal of 46894560 is 6549864.

46894560 = 212² + 213² + ... + 531².

46894560 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 (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 72157 + ... + 72803.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^46894560 is an apocalyptic number.

46894560 is a gapful number since it is divisible by the number (40) 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 46894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

46894560 is an abundant number, since it is smaller than the sum of its proper divisors (102031392).

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

46894560 is a wasteful number, since it uses less digits than its factorization.

46894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 46894560 is about 6847.9602802586. The cubic root of 46894560 is about 360.6125374277.

The spelling of 46894560 in words is "forty-six million, eight hundred ninety-four thousand, five hundred sixty".