461942208 has 252 divisors, whose sum is σ = 1660047480. Its totient is φ = 121734144.

The previous prime is 461942183. The next prime is 461942263. The reversal of 461942208 is 802249164.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366283 + ... + 367541.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^461942208 is an apocalyptic number.

461942208 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 461942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830023740).

461942208 is an abundant number, since it is smaller than the sum of its proper divisors (1198105272).

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

461942208 is a wasteful number, since it uses less digits than its factorization.

461942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461942208 is about 21492.8408545729. The cubic root of 461942208 is about 773.0291695894.

The spelling of 461942208 in words is "four hundred sixty-one million, nine hundred forty-two thousand, two hundred eight".