461058400 has 144 divisors (see below), whose sum is σ = 1240889328. Its totient is φ = 167270400.

The previous prime is 461058373. The next prime is 461058401. The reversal of 461058400 is 4850164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461058401) 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, 1064584 + ... + 1065016.

It is an arithmetic number, because the mean of its divisors is an integer number (8617287).

Almost surely, 2^461058400 is an apocalyptic number.

461058400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620444664).

461058400 is an abundant number, since it is smaller than the sum of its proper divisors (779830928).

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

461058400 is a wasteful number, since it uses less digits than its factorization.

461058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 461058400 is about 21472.2704900996. The cubic root of 461058400 is about 772.5358571277.

The spelling of 461058400 in words is "four hundred sixty-one million, fifty-eight thousand, four hundred".