461055720 has 64 divisors (see below), whose sum is σ = 1394104320. Its totient is φ = 121976064.

The previous prime is 461055703. The next prime is 461055731. The reversal of 461055720 is 27550164.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 114 + ... + 30366.

It is an arithmetic number, because the mean of its divisors is an integer number (21782880).

Almost surely, 2^461055720 is an apocalyptic number.

461055720 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 461055720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697052160).

461055720 is an abundant number, since it is smaller than the sum of its proper divisors (933048600).

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

461055720 is a wasteful number, since it uses less digits than its factorization.

461055720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30394 (or 30390 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 461055720 is about 21472.2080839396. The cubic root of 461055720 is about 772.5343602819.

The spelling of 461055720 in words is "four hundred sixty-one million, fifty-five thousand, seven hundred twenty".