46289920 has 44 divisors (see below), whose sum is σ = 111053844. Its totient is φ = 18513920.

The previous prime is 46289917. The next prime is 46289933. The reversal of 46289920 is 2998264.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 10863616 = 5952^2 + 3296^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600 + ... + 9640.

It is an arithmetic number, because the mean of its divisors is an integer number (2523951).

Almost surely, 2^46289920 is an apocalyptic number.

46289920 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 46289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55526922).

46289920 is an abundant number, since it is smaller than the sum of its proper divisors (64763924).

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

46289920 is an equidigital number, since it uses as much as digits as its factorization.

46289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 46289920 is about 6803.6695980919. The cubic root of 46289920 is about 359.0559628051.

The spelling of 46289920 in words is "forty-six million, two hundred eighty-nine thousand, nine hundred twenty".