461779200 has 162 divisors, whose sum is σ = 1651170794. Its totient is φ = 123125760.

The previous prime is 461779159. The next prime is 461779207. The reversal of 461779200 is 2977164.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37748736 + 424030464 = 6144^2 + 20592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (461779207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53592 + ... + 61608.

Almost surely, 2^461779200 is an apocalyptic number.

461779200 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 461779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825585397).

461779200 is an abundant number, since it is smaller than the sum of its proper divisors (1189391594).

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

461779200 is a wasteful number, since it uses less digits than its factorization.

461779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 461779200 is about 21489.0483735320. The cubic root of 461779200 is about 772.9382312559.

The spelling of 461779200 in words is "four hundred sixty-one million, seven hundred seventy-nine thousand, two hundred".