46530900 has 216 divisors, whose sum is σ = 162557304. Its totient is φ = 11059200.

The previous prime is 46530899. The next prime is 46530917. The reversal of 46530900 is 903564.

It is a happy number.

46530900 is a `hidden beast` number, since 4 + 653 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 34503876 + 12027024 = 5874^2 + 3468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 479652 + ... + 479748.

Almost surely, 2^46530900 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 46530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81278652).

46530900 is an abundant number, since it is smaller than the sum of its proper divisors (116026404).

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

46530900 is a wasteful number, since it uses less digits than its factorization.

46530900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 46530900 is about 6821.3561701468. The cubic root of 46530900 is about 359.6779527310.

The spelling of 46530900 in words is "forty-six million, five hundred thirty thousand, nine hundred".