461353420 has 48 divisors (see below), whose sum is σ = 1059319296. Its totient is φ = 167384000.

The previous prime is 461353369. The next prime is 461353447. The reversal of 461353420 is 24353164.

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 15 ways as a sum of consecutive naturals, for example, 105885 + ... + 110155.

It is an arithmetic number, because the mean of its divisors is an integer number (22069152).

Almost surely, 2^461353420 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 461353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529659648).

461353420 is an abundant number, since it is smaller than the sum of its proper divisors (597965876).

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

461353420 is a wasteful number, since it uses less digits than its factorization.

461353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 461353420 is about 21479.1391820063. The cubic root of 461353420 is about 772.7005975986.

The spelling of 461353420 in words is "four hundred sixty-one million, three hundred fifty-three thousand, four hundred twenty".