46513530 has 192 divisors, whose sum is σ = 151227648. Its totient is φ = 9676800.

The previous prime is 46513507. The next prime is 46513531. The reversal of 46513530 is 3531564.

46513530 is a `hidden beast` number, since 4 + 651 + 3 + 5 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46513494 and 46513503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46513531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460480 + ... + 460580.

It is an arithmetic number, because the mean of its divisors is an integer number (787644).

Almost surely, 2^46513530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46513530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75613824).

46513530 is an abundant number, since it is smaller than the sum of its proper divisors (104714118).

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

46513530 is a wasteful number, since it uses less digits than its factorization.

46513530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 46513530 is about 6820.0828440716. The cubic root of 46513530 is about 359.6331911954.

The spelling of 46513530 in words is "forty-six million, five hundred thirteen thousand, five hundred thirty".