46988480 has 112 divisors (see below), whose sum is σ = 139574016. Its totient is φ = 14638080.

The previous prime is 46988479. The next prime is 46988503. The reversal of 46988480 is 8488964.

46988480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23687 + ... + 25593.

Almost surely, 2^46988480 is an apocalyptic number.

46988480 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 46988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69787008).

46988480 is an abundant number, since it is smaller than the sum of its proper divisors (92585536).

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

46988480 is a wasteful number, since it uses less digits than its factorization.

46988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 46988480 is about 6854.8143665602. The cubic root of 46988480 is about 360.8531207277.

It can be divided in two parts, 469884 and 80, that added together give a palindrome (469964).

The spelling of 46988480 in words is "forty-six million, nine hundred eighty-eight thousand, four hundred eighty".