461435520 has 512 divisors, whose sum is σ = 1919232000. Its totient is φ = 91570176.

The previous prime is 461435509. The next prime is 461435531. The reversal of 461435520 is 25534164.

461435520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (461435509) and next prime (461435531).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3319611 + ... + 3319749.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^461435520 is an apocalyptic number.

461435520 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 461435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959616000).

461435520 is an abundant number, since it is smaller than the sum of its proper divisors (1457796480).

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

461435520 is a wasteful number, since it uses less digits than its factorization.

461435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 461435520 is about 21481.0502536538. The cubic root of 461435520 is about 772.7464301091.

Adding to 461435520 its reverse (25534164), we get a palindrome (486969684).

The spelling of 461435520 in words is "four hundred sixty-one million, four hundred thirty-five thousand, five hundred twenty".