46032320 has 56 divisors (see below), whose sum is σ = 110819184. Its totient is φ = 18210816.

The previous prime is 46032289. The next prime is 46032373. The reversal of 46032320 is 2323064.

46032320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 46032292 and 46032301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30299 + ... + 31781.

It is an arithmetic number, because the mean of its divisors is an integer number (1978914).

Almost surely, 2^46032320 is an apocalyptic number.

46032320 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 46032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55409592).

46032320 is an abundant number, since it is smaller than the sum of its proper divisors (64786864).

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

46032320 is a wasteful number, since it uses less digits than its factorization.

46032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 46032320 is about 6784.7122267639. The cubic root of 46032320 is about 358.3886834756.

Adding to 46032320 its reverse (2323064), we get a palindrome (48355384).

The spelling of 46032320 in words is "forty-six million, thirty-two thousand, three hundred twenty".