46548480 has 320 divisors, whose sum is σ = 176774400. Its totient is φ = 10321920.

The previous prime is 46548473. The next prime is 46548521. The reversal of 46548480 is 8484564.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605106 + ... + 1605134.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 2^46548480 is an apocalyptic number.

46548480 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 46548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

46548480 is an abundant number, since it is smaller than the sum of its proper divisors (130225920).

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

46548480 is a wasteful number, since it uses less digits than its factorization.

46548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 46548480 is about 6822.6446485216. The cubic root of 46548480 is about 359.7232440840.

It can be divided in two parts, 465484 and 80, that added together give a palindrome (465564).

The spelling of 46548480 in words is "forty-six million, five hundred forty-eight thousand, four hundred eighty".