461006208 has 256 divisors, whose sum is σ = 1517107200. Its totient is φ = 136857600.

The previous prime is 461006197. The next prime is 461006209. The reversal of 461006208 is 802600164.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461006209) 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, 1392603 + ... + 1392933.

It is an arithmetic number, because the mean of its divisors is an integer number (5926200).

Almost surely, 2^461006208 is an apocalyptic number.

461006208 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 461006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758553600).

461006208 is an abundant number, since it is smaller than the sum of its proper divisors (1056100992).

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

461006208 is a wasteful number, since it uses less digits than its factorization.

461006208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 461006208 is about 21471.0551207899. The cubic root of 461006208 is about 772.5067055691.

The spelling of 461006208 in words is "four hundred sixty-one million, six thousand, two hundred eight".