461133420 has 144 divisors (see below), whose sum is σ = 1494366720. Its totient is φ = 105874560.

The previous prime is 461133397. The next prime is 461133433. The reversal of 461133420 is 24331164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136269 + ... + 139611.

Almost surely, 2^461133420 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 461133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747183360).

461133420 is an abundant number, since it is smaller than the sum of its proper divisors (1033233300).

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

461133420 is a wasteful number, since it uses less digits than its factorization.

461133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 461133420 is about 21474.0173232677. The cubic root of 461133420 is about 772.5777552885.

Adding to 461133420 its reverse (24331164), we get a palindrome (485464584).

The spelling of 461133420 in words is "four hundred sixty-one million, one hundred thirty-three thousand, four hundred twenty".