46950120 has 192 divisors, whose sum is σ = 180311040. Its totient is φ = 10368000.

The previous prime is 46950097. The next prime is 46950139. The reversal of 46950120 is 2105964.

46950120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 77820 + ... + 78420.

It is an arithmetic number, because the mean of its divisors is an integer number (939120).

Almost surely, 2^46950120 is an apocalyptic number.

46950120 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 46950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90155520).

46950120 is an abundant number, since it is smaller than the sum of its proper divisors (133360920).

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

46950120 is a wasteful number, since it uses less digits than its factorization.

46950120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 46950120 is about 6852.0157618032. The cubic root of 46950120 is about 360.7548974025.

The spelling of 46950120 in words is "forty-six million, nine hundred fifty thousand, one hundred twenty".