461351072 has 108 divisors (see below), whose sum is σ = 1144760526. Its totient is φ = 182407680.

The previous prime is 461351071. The next prime is 461351087. The reversal of 461351072 is 270153164.

It can be written as a sum of positive squares in 3 ways, for example, as 73891216 + 387459856 = 8596^2 + 19684^2 .

It is not an unprimeable number, because it can be changed into a prime (461351071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264122 + ... + 265862.

Almost surely, 2^461351072 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 461351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572380263).

461351072 is an abundant number, since it is smaller than the sum of its proper divisors (683409454).

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

461351072 is a wasteful number, since it uses less digits than its factorization.

461351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 461351072 is about 21479.0845242529. The cubic root of 461351072 is about 772.6992867423.

The spelling of 461351072 in words is "four hundred sixty-one million, three hundred fifty-one thousand, seventy-two".