46804273200 has 960 divisors, whose sum is σ = 187759411200. Its totient is φ = 11017036800.

The previous prime is 46804273169. The next prime is 46804273259. The reversal of 46804273200 is 237240864.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 221821095 + ... + 221821305.

It is an arithmetic number, because the mean of its divisors is an integer number (195582720).

Almost surely, 2^46804273200 is an apocalyptic number.

46804273200 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 46804273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93879705600).

46804273200 is an abundant number, since it is smaller than the sum of its proper divisors (140955138000).

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

46804273200 is a wasteful number, since it uses less digits than its factorization.

46804273200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 46804273200 in words is "forty-six billion, eight hundred four million, two hundred seventy-three thousand, two hundred".