46732320 has 288 divisors, whose sum is σ = 178319232. Its totient is φ = 11083776.

The previous prime is 46732319. The next prime is 46732331. The reversal of 46732320 is 2323764.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562999 + ... + 563081.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^46732320 is an apocalyptic number.

46732320 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 46732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

46732320 is an abundant number, since it is smaller than the sum of its proper divisors (131586912).

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

46732320 is a wasteful number, since it uses less digits than its factorization.

46732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 46732320 is about 6836.1041536829. The cubic root of 46732320 is about 360.1961893595.

The spelling of 46732320 in words is "forty-six million, seven hundred thirty-two thousand, three hundred twenty".