461367792 has 160 divisors (see below), whose sum is σ = 1398005760. Its totient is φ = 145463040.

The previous prime is 461367779. The next prime is 461367847. The reversal of 461367792 is 297763164.

461367792 is a `hidden beast` number, since 461 + 36 + 77 + 92 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629058 + ... + 629790.

It is an arithmetic number, because the mean of its divisors is an integer number (8737536).

Almost surely, 2^461367792 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 461367792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699002880).

461367792 is an abundant number, since it is smaller than the sum of its proper divisors (936637968).

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

461367792 is a wasteful number, since it uses less digits than its factorization.

461367792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 461367792 is about 21479.4737365700. The cubic root of 461367792 is about 772.7086211927.

The spelling of 461367792 in words is "four hundred sixty-one million, three hundred sixty-seven thousand, seven hundred ninety-two".