461918688 has 288 divisors, whose sum is σ = 1571996160. Its totient is φ = 117411840.

The previous prime is 461918627. The next prime is 461918689. The reversal of 461918688 is 886819164.

It is a self number, because there is not a number n which added to its sum of digits gives 461918688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461918689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087720 + ... + 4087832.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^461918688 is an apocalyptic number.

461918688 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 461918688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785998080).

461918688 is an abundant number, since it is smaller than the sum of its proper divisors (1110077472).

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

461918688 is a wasteful number, since it uses less digits than its factorization.

461918688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 461918688 is about 21492.2936886690. The cubic root of 461918688 is about 773.0160496549.

The spelling of 461918688 in words is "four hundred sixty-one million, nine hundred eighteen thousand, six hundred eighty-eight".