46813320 has 96 divisors (see below), whose sum is σ = 153667800. Its totient is φ = 12358656.

The previous prime is 46813253. The next prime is 46813331. The reversal of 46813320 is 2331864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41139396 + 5673924 = 6414^2 + 2382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38644 + ... + 39836.

Almost surely, 2^46813320 is an apocalyptic number.

46813320 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 46813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76833900).

46813320 is an abundant number, since it is smaller than the sum of its proper divisors (106854480).

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

46813320 is a wasteful number, since it uses less digits than its factorization.

46813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46813320 is about 6842.0260157354. The cubic root of 46813320 is about 360.4041756876.

It can be divided in two parts, 4681 and 3320, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 46813320 in words is "forty-six million, eight hundred thirteen thousand, three hundred twenty".