46520100 has 216 divisors, whose sum is σ = 164656128. Its totient is φ = 10886400.

The previous prime is 46520087. The next prime is 46520101. The reversal of 46520100 is 102564.

It is a happy number.

46520100 is a `hidden beast` number, since 4 + 652 + 0 + 10 + 0 = 666.

46520100 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 (18).

It is not an unprimeable number, because it can be changed into a prime (46520101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 366237 + ... + 366363.

Almost surely, 2^46520100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328064).

46520100 is an abundant number, since it is smaller than the sum of its proper divisors (118136028).

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

46520100 is a wasteful number, since it uses less digits than its factorization.

46520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 46520100 is about 6820.5644927674. The cubic root of 46520100 is about 359.6501230345.

Adding to 46520100 its reverse (102564), we get a palindrome (46622664).

The spelling of 46520100 in words is "forty-six million, five hundred twenty thousand, one hundred".