461284356 has 72 divisors (see below), whose sum is σ = 1223491584. Its totient is φ = 134447040.

The previous prime is 461284331. The next prime is 461284357. The reversal of 461284356 is 653482164.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (461284357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52221 + ... + 60411.

Almost surely, 2^461284356 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 461284356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611745792).

461284356 is an abundant number, since it is smaller than the sum of its proper divisors (762207228).

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

461284356 is a wasteful number, since it uses less digits than its factorization.

461284356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8228 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 461284356 is about 21477.5314223958. The cubic root of 461284356 is about 772.6620382535.

The spelling of 461284356 in words is "four hundred sixty-one million, two hundred eighty-four thousand, three hundred fifty-six".