46024960 has 72 divisors (see below), whose sum is σ = 113061816. Its totient is φ = 17940480.

The previous prime is 46024939. The next prime is 46024963. The reversal of 46024960 is 6942064.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 43665664 = 1536^2 + 6608^2 .

It is not an unprimeable number, because it can be changed into a prime (46024963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52042 + ... + 52918.

It is an arithmetic number, because the mean of its divisors is an integer number (1570303).

Almost surely, 2^46024960 is an apocalyptic number.

46024960 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 46024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56530908).

46024960 is an abundant number, since it is smaller than the sum of its proper divisors (67036856).

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

46024960 is an equidigital number, since it uses as much as digits as its factorization.

46024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 46024960 is about 6784.1698091955. The cubic root of 46024960 is about 358.3695818147.

The spelling of 46024960 in words is "forty-six million, twenty-four thousand, nine hundred sixty".