46513080 has 96 divisors (see below), whose sum is σ = 154440000. Its totient is φ = 12135168.

The previous prime is 46513069. The next prime is 46513097. The reversal of 46513080 is 8031564.

46513080 is a `hidden beast` number, since 4 + 651 + 3 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×46513080² = 4326933222172800, which contains 22 as substring.

It is a congruent number.

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, 15546 + ... + 18294.

It is an arithmetic number, because the mean of its divisors is an integer number (1608750).

Almost surely, 2^46513080 is an apocalyptic number.

46513080 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 46513080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220000).

46513080 is an abundant number, since it is smaller than the sum of its proper divisors (107926920).

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

46513080 is a wasteful number, since it uses less digits than its factorization.

46513080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46513080 is about 6820.0498531902. The cubic root of 46513080 is about 359.6320314220.

The spelling of 46513080 in words is "forty-six million, five hundred thirteen thousand, eighty".