46878900 has 72 divisors (see below), whose sum is σ = 136345440. Its totient is φ = 12435840.

The previous prime is 46878893. The next prime is 46878907. The reversal of 46878900 is 987864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46878893) and next prime (46878907).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46878907) 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, 91846 + ... + 92354.

Almost surely, 2^46878900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46878900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68172720).

46878900 is an abundant number, since it is smaller than the sum of its proper divisors (89466540).

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

46878900 is a wasteful number, since it uses less digits than its factorization.

46878900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 46878900 is about 6846.8167786206. The cubic root of 46878900 is about 360.5723918966.

The spelling of 46878900 in words is "forty-six million, eight hundred seventy-eight thousand, nine hundred".