46936800 has 288 divisors, whose sum is σ = 177176160. Its totient is φ = 11980800.

The previous prime is 46936789. The next prime is 46936811. The reversal of 46936800 is 863964.

It is an interprime number because it is at equal distance from previous prime (46936789) and next prime (46936811).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 885574 + ... + 885626.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 2^46936800 is an apocalyptic number.

46936800 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 46936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88588080).

46936800 is an abundant number, since it is smaller than the sum of its proper divisors (130239360).

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

46936800 is a wasteful number, since it uses less digits than its factorization.

46936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46936800 is about 6851.0437161063. The cubic root of 46936800 is about 360.7207781448.

The spelling of 46936800 in words is "forty-six million, nine hundred thirty-six thousand, eight hundred".