46788480 has 96 divisors (see below), whose sum is σ = 161586360. Its totient is φ = 12475392.

The previous prime is 46788479. The next prime is 46788487. The reversal of 46788480 is 8488764.

46788480 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46788487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1699 + ... + 9821.

Almost surely, 2^46788480 is an apocalyptic number.

46788480 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 46788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80793180).

46788480 is an abundant number, since it is smaller than the sum of its proper divisors (114797880).

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

46788480 is a wasteful number, since it uses less digits than its factorization.

46788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 46788480 is about 6840.2105230760. The cubic root of 46788480 is about 360.3404187367.

The spelling of 46788480 in words is "forty-six million, seven hundred eighty-eight thousand, four hundred eighty".