46947059200 has 240 divisors, whose sum is σ = 120529696320. Its totient is φ = 18110545920.

The previous prime is 46947059191. The next prime is 46947059209. The reversal of 46947059200 is 295074964.

It is an interprime number because it is at equal distance from previous prime (46947059191) and next prime (46947059209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46947059209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43916266 + ... + 43917334.

It is an arithmetic number, because the mean of its divisors is an integer number (502207068).

Almost surely, 2^46947059200 is an apocalyptic number.

46947059200 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 46947059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264848160).

46947059200 is an abundant number, since it is smaller than the sum of its proper divisors (73582637120).

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

46947059200 is a wasteful number, since it uses less digits than its factorization.

46947059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 46947059200 in words is "forty-six billion, nine hundred forty-seven million, fifty-nine thousand, two hundred".