46478275200 has 1536 divisors, whose sum is σ = 209167564800. Its totient is φ = 9853747200.

The previous prime is 46478275187. The next prime is 46478275219. The reversal of 46478275200 is 257287464.

It is a happy number.

46478275200 is a `hidden beast` number, since 4 + 6 + 47 + 82 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 693705567 + ... + 693705633.

It is an arithmetic number, because the mean of its divisors is an integer number (136176800).

Almost surely, 2^46478275200 is an apocalyptic number.

46478275200 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 46478275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104583782400).

46478275200 is an abundant number, since it is smaller than the sum of its proper divisors (162689289600).

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

46478275200 is a wasteful number, since it uses less digits than its factorization.

46478275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 46478275200 in words is "forty-six billion, four hundred seventy-eight million, two hundred seventy-five thousand, two hundred".