46688480 has 48 divisors (see below), whose sum is σ = 113871744. Its totient is φ = 18071040.

The previous prime is 46688471. The next prime is 46688483. The reversal of 46688480 is 8488664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46688483) 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, 254 + ... + 9666.

It is an arithmetic number, because the mean of its divisors is an integer number (2372328).

Almost surely, 2^46688480 is an apocalyptic number.

46688480 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 46688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56935872).

46688480 is an abundant number, since it is smaller than the sum of its proper divisors (67183264).

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

46688480 is a wasteful number, since it uses less digits than its factorization.

46688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 46688480 is about 6832.8968966318. The cubic root of 46688480 is about 360.0835197166.

The spelling of 46688480 in words is "forty-six million, six hundred eighty-eight thousand, four hundred eighty".