46360800 has 216 divisors, whose sum is σ = 168176736. Its totient is φ = 12011520.

The previous prime is 46360789. The next prime is 46360807. The reversal of 46360800 is 806364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46360807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338332 + ... + 338468.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 2^46360800 is an apocalyptic number.

46360800 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 46360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368).

46360800 is an abundant number, since it is smaller than the sum of its proper divisors (121815936).

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

46360800 is a wasteful number, since it uses less digits than its factorization.

46360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46360800 is about 6808.8765593158. The cubic root of 46360800 is about 359.2391337697.

The spelling of 46360800 in words is "forty-six million, three hundred sixty thousand, eight hundred".