461442816 has 216 divisors, whose sum is σ = 1428510720. Its totient is φ = 142829568.

The previous prime is 461442803. The next prime is 461442827. The reversal of 461442816 is 618244164.

It is a happy number.

461442816 is a `hidden beast` number, since 4 + 614 + 4 + 28 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3633345 + ... + 3633471.

Almost surely, 2^461442816 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 461442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

461442816 is an abundant number, since it is smaller than the sum of its proper divisors (967067904).

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

461442816 is a wasteful number, since it uses less digits than its factorization.

461442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 461442816 is about 21481.2200770813. The cubic root of 461442816 is about 772.7505028545.

The spelling of 461442816 in words is "four hundred sixty-one million, four hundred forty-two thousand, eight hundred sixteen".