46738320 has 80 divisors (see below), whose sum is σ = 145972800. Its totient is φ = 12370432.

The previous prime is 46738283. The next prime is 46738331. The reversal of 46738320 is 2383764.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 35107 + ... + 36413.

It is an arithmetic number, because the mean of its divisors is an integer number (1824660).

Almost surely, 2^46738320 is an apocalyptic number.

46738320 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 46738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72986400).

46738320 is an abundant number, since it is smaller than the sum of its proper divisors (99234480).

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

46738320 is a wasteful number, since it uses less digits than its factorization.

46738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 46738320 is about 6836.5429860420. The cubic root of 46738320 is about 360.2116039922.

The spelling of 46738320 in words is "forty-six million, seven hundred thirty-eight thousand, three hundred twenty".