461967792 has 320 divisors, whose sum is σ = 1538901504. Its totient is φ = 117227520.

The previous prime is 461967757. The next prime is 461967799. The reversal of 461967792 is 297769164.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1143072) is a multiple of the sum of its prime factors (196).

It is not an unprimeable number, because it can be changed into a prime (461967799) 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, 4317403 + ... + 4317509.

Almost surely, 2^461967792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461967792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769450752).

461967792 is an abundant number, since it is smaller than the sum of its proper divisors (1076933712).

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

461967792 is a wasteful number, since it uses less digits than its factorization.

461967792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 461967792 is about 21493.4360212601. The cubic root of 461967792 is about 773.0434403596.

The spelling of 461967792 in words is "four hundred sixty-one million, nine hundred sixty-seven thousand, seven hundred ninety-two".