46819920 has 240 divisors, whose sum is σ = 177310080. Its totient is φ = 9999360.

The previous prime is 46819907. The next prime is 46819931. The reversal of 46819920 is 2991864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510305 + ... + 1510335.

It is an arithmetic number, because the mean of its divisors is an integer number (738792).

Almost surely, 2^46819920 is an apocalyptic number.

46819920 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 46819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88655040).

46819920 is an abundant number, since it is smaller than the sum of its proper divisors (130490160).

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

46819920 is a wasteful number, since it uses less digits than its factorization.

46819920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 46819920 is about 6842.5083120154. The cubic root of 46819920 is about 360.4211121478.

The spelling of 46819920 in words is "forty-six million, eight hundred nineteen thousand, nine hundred twenty".