46909800 has 384 divisors, whose sum is σ = 198201600. Its totient is φ = 9953280.

The previous prime is 46909787. The next prime is 46909843. The reversal of 46909800 is 890964.

46909800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 642564 + ... + 642636.

It is an arithmetic number, because the mean of its divisors is an integer number (516150).

Almost surely, 2^46909800 is an apocalyptic number.

46909800 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 46909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800).

46909800 is an abundant number, since it is smaller than the sum of its proper divisors (151291800).

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

46909800 is a wasteful number, since it uses less digits than its factorization.

46909800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 46909800 is about 6849.0729299665. The cubic root of 46909800 is about 360.6515976786.

The spelling of 46909800 in words is "forty-six million, nine hundred nine thousand, eight hundred".