461423520 has 384 divisors, whose sum is σ = 1754887680. Its totient is φ = 112803840.

The previous prime is 461423519. The next prime is 461423563. The reversal of 461423520 is 25324164.

461423520 is a `hidden beast` number, since 4 + 614 + 23 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4479789 + ... + 4479891.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^461423520 is an apocalyptic number.

461423520 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 461423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

461423520 is an abundant number, since it is smaller than the sum of its proper divisors (1293464160).

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

461423520 is a wasteful number, since it uses less digits than its factorization.

461423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 461423520 is about 21480.7709358859. The cubic root of 461423520 is about 772.7397314212.

Adding to 461423520 its reverse (25324164), we get a palindrome (486747684).

The spelling of 461423520 in words is "four hundred sixty-one million, four hundred twenty-three thousand, five hundred twenty".