46877459200 has 864 divisors, whose sum is σ = 151757286912. Its totient is φ = 14057472000.

The previous prime is 46877459179. The next prime is 46877459201. The reversal of 46877459200 is 295477864.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (46877459201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357843135 + ... + 357843265.

It is an arithmetic number, because the mean of its divisors is an integer number (175645008).

Almost surely, 2^46877459200 is an apocalyptic number.

46877459200 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 46877459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75878643456).

46877459200 is an abundant number, since it is smaller than the sum of its proper divisors (104879827712).

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

46877459200 is a wasteful number, since it uses less digits than its factorization.

46877459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 46877459200 in words is "forty-six billion, eight hundred seventy-seven million, four hundred fifty-nine thousand, two hundred".