461217408 has 32 divisors (see below), whose sum is σ = 1225109760. Its totient is φ = 153739008.

The previous prime is 461217403. The next prime is 461217433. The reversal of 461217408 is 804712164.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (461217403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600160 + ... + 600927.

It is an arithmetic number, because the mean of its divisors is an integer number (38284680).

Almost surely, 2^461217408 is an apocalyptic number.

461217408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461217408 is an abundant number, since it is smaller than the sum of its proper divisors (763892352).

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

461217408 is a wasteful number, since it uses less digits than its factorization.

461217408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201104 (or 1201092 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 461217408 is about 21475.9728068369. The cubic root of 461217408 is about 772.6246566253.

The spelling of 461217408 in words is "four hundred sixty-one million, two hundred seventeen thousand, four hundred eight".