461523300 has 288 divisors, whose sum is σ = 1649894400. Its totient is φ = 97251840.

The previous prime is 461523299. The next prime is 461523341. The reversal of 461523300 is 3325164.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1715566 + ... + 1715834.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^461523300 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 461523300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

461523300 is an abundant number, since it is smaller than the sum of its proper divisors (1188371100).

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

461523300 is a wasteful number, since it uses less digits than its factorization.

461523300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 461523300 is about 21483.0933526808. The cubic root of 461523300 is about 772.7954274792.

Adding to 461523300 its reverse (3325164), we get a palindrome (464848464).

The spelling of 461523300 in words is "four hundred sixty-one million, five hundred twenty-three thousand, three hundred".