46946688 has 64 divisors (see below), whose sum is σ = 125582400. Its totient is φ = 15538688.

The previous prime is 46946677. The next prime is 46946689. The reversal of 46946688 is 88664964.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46946688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46946689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68395 + ... + 69077.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^46946688 is an apocalyptic number.

46946688 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 46946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791200).

46946688 is an abundant number, since it is smaller than the sum of its proper divisors (78635712).

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

46946688 is a wasteful number, since it uses less digits than its factorization.

46946688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 46946688 is about 6851.7653199741. The cubic root of 46946688 is about 360.7461069317.

The spelling of 46946688 in words is "forty-six million, nine hundred forty-six thousand, six hundred eighty-eight".