461323968 has 224 divisors, whose sum is σ = 1505760768. Its totient is φ = 121651200.

The previous prime is 461323963. The next prime is 461323979. The reversal of 461323968 is 869323164.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461323963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393563 + ... + 1393893.

Almost surely, 2^461323968 is an apocalyptic number.

461323968 is a gapful number since it is divisible by the number (48) 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 461323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752880384).

461323968 is an abundant number, since it is smaller than the sum of its proper divisors (1044436800).

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

461323968 is a wasteful number, since it uses less digits than its factorization.

461323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 461323968 is about 21478.4535756185. The cubic root of 461323968 is about 772.6841546279.

The spelling of 461323968 in words is "four hundred sixty-one million, three hundred twenty-three thousand, nine hundred sixty-eight".