46082800 has 60 divisors (see below), whose sum is σ = 115550640. Its totient is φ = 17628160.

The previous prime is 46082791. The next prime is 46082807. The reversal of 46082800 is 828064.

It is a super-4 number, since 4×46082800⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46082807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6696 + ... + 11704.

It is an arithmetic number, because the mean of its divisors is an integer number (1925844).

Almost surely, 2^46082800 is an apocalyptic number.

46082800 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 46082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57775320).

46082800 is an abundant number, since it is smaller than the sum of its proper divisors (69467840).

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

46082800 is a wasteful number, since it uses less digits than its factorization.

46082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 46082800 is about 6788.4313357358. The cubic root of 46082800 is about 358.5196411130.

The spelling of 46082800 in words is "forty-six million, eighty-two thousand, eight hundred".