461244334320 has 360 divisors, whose sum is σ = 1965724029360. Its totient is φ = 95842897920.

The previous prime is 461244334319. The next prime is 461244334349. The reversal of 461244334320 is 23433442164.

461244334320 is a `hidden beast` number, since 4 + 61 + 244 + 3 + 34 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206185 + ... + 982344.

It is an arithmetic number, because the mean of its divisors is an integer number (5460344526).

Almost surely, 2^461244334320 is an apocalyptic number.

461244334320 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 461244334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982862014680).

461244334320 is an abundant number, since it is smaller than the sum of its proper divisors (1504479695040).

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

461244334320 is a wasteful number, since it uses less digits than its factorization.

461244334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188573 (or 1188557 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 461244334320 its reverse (23433442164), we get a palindrome (484677776484).

The spelling of 461244334320 in words is "four hundred sixty-one billion, two hundred forty-four million, three hundred thirty-four thousand, three hundred twenty".