46742688 has 72 divisors (see below), whose sum is σ = 134234100. Its totient is φ = 15427584.

The previous prime is 46742687. The next prime is 46742701. The reversal of 46742688 is 88624764.

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 121104 = 6828^2 + 348^2 .

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

It is not an unprimeable number, because it can be changed into a prime (46742681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30648 + ... + 32136.

Almost surely, 2^46742688 is an apocalyptic number.

46742688 is a gapful number since it is divisible by the number (48) 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 46742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67117050).

46742688 is an abundant number, since it is smaller than the sum of its proper divisors (87491412).

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

46742688 is a wasteful number, since it uses less digits than its factorization.

46742688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1603 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 46742688 is about 6836.8624382826. The cubic root of 46742688 is about 360.2228250151. Note that the first 3 decimals are identical.

The spelling of 46742688 in words is "forty-six million, seven hundred forty-two thousand, six hundred eighty-eight".