461004248320 has 576 divisors, whose sum is σ = 1463278473216. Its totient is φ = 134721699840.

The previous prime is 461004248279. The next prime is 461004248321. The reversal of 461004248320 is 23842400164.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461004248321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842786287 + ... + 842786833.

It is an arithmetic number, because the mean of its divisors is an integer number (2540414016).

Almost surely, 2^461004248320 is an apocalyptic number.

461004248320 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 461004248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731639236608).

461004248320 is an abundant number, since it is smaller than the sum of its proper divisors (1002274224896).

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

461004248320 is a wasteful number, since it uses less digits than its factorization.

461004248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 461004248320 its reverse (23842400164), we get a palindrome (484846648484).

The spelling of 461004248320 in words is "four hundred sixty-one billion, four million, two hundred forty-eight thousand, three hundred twenty".