461006352 has 60 divisors (see below), whose sum is σ = 1294882524. Its totient is φ = 153108480.

The previous prime is 461006321. The next prime is 461006369. The reversal of 461006352 is 253600164.

It can be written as a sum of positive squares in 2 ways, for example, as 327465216 + 133541136 = 18096^2 + 11556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34768 + ... + 46160.

Almost surely, 2^461006352 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 461006352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647441262).

461006352 is an abundant number, since it is smaller than the sum of its proper divisors (833876172).

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

461006352 is a wasteful number, since it uses less digits than its factorization.

461006352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11688 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 461006352 is about 21471.0584741414. The cubic root of 461006352 is about 772.5067860025.

The spelling of 461006352 in words is "four hundred sixty-one million, six thousand, three hundred fifty-two".