46482080 has 96 divisors (see below), whose sum is σ = 121492224. Its totient is φ = 16715776.

The previous prime is 46482077. The next prime is 46482083. The reversal of 46482080 is 8028464.

It is an interprime number because it is at equal distance from previous prime (46482077) and next prime (46482083).

It is a super-2 number, since 2×46482080² = 4321167522252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (46482083) 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, 62189 + ... + 62931.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^46482080 is an apocalyptic number.

46482080 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 46482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

46482080 is an abundant number, since it is smaller than the sum of its proper divisors (75010144).

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

46482080 is a wasteful number, since it uses less digits than its factorization.

46482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 46482080 is about 6817.7767637258. The cubic root of 46482080 is about 359.5521179105.

The spelling of 46482080 in words is "forty-six million, four hundred eighty-two thousand, eighty".