46414688 has 48 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 22108800.

The previous prime is 46414639. The next prime is 46414691. The reversal of 46414688 is 88641464.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70103 + ... + 70761.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^46414688 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 46414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

46414688 is an abundant number, since it is smaller than the sum of its proper divisors (49385632).

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

46414688 is a wasteful number, since it uses less digits than its factorization.

46414688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 46414688 is about 6812.8325973856. The cubic root of 46414688 is about 359.3782684315.

The spelling of 46414688 in words is "forty-six million, four hundred fourteen thousand, six hundred eighty-eight".