461293020 has 216 divisors, whose sum is σ = 1531071360. Its totient is φ = 112285440.

The previous prime is 461293003. The next prime is 461293031. The reversal of 461293020 is 20392164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2014266 + ... + 2014494.

Almost surely, 2^461293020 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 461293020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765535680).

461293020 is an abundant number, since it is smaller than the sum of its proper divisors (1069778340).

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

461293020 is a wasteful number, since it uses less digits than its factorization.

461293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 461293020 is about 21477.7331206066. The cubic root of 461293020 is about 772.6668756905. Note that the first 3 decimals are identical.

The spelling of 461293020 in words is "four hundred sixty-one million, two hundred ninety-three thousand, twenty".