46826880 has 128 divisors (see below), whose sum is σ = 154591200. Its totient is φ = 12056576.

The previous prime is 46826869. The next prime is 46826881. The reversal of 46826880 is 8862864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46826881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614706 + ... + 1614734.

Almost surely, 2^46826880 is an apocalyptic number.

46826880 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 46826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77295600).

46826880 is an abundant number, since it is smaller than the sum of its proper divisors (107764320).

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

46826880 is an frugal number, since it uses more digits than its factorization.

46826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 46826880 is about 6843.0168785412. The cubic root of 46826880 is about 360.4389706906.

The spelling of 46826880 in words is "forty-six million, eight hundred twenty-six thousand, eight hundred eighty".