461876688 has 320 divisors, whose sum is σ = 1688780800. Its totient is φ = 117573120.

The previous prime is 461876687. The next prime is 461876693. The reversal of 461876688 is 886678164.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461876683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218483 + ... + 1218861.

It is an arithmetic number, because the mean of its divisors is an integer number (5277440).

Almost surely, 2^461876688 is an apocalyptic number.

461876688 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 461876688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844390400).

461876688 is an abundant number, since it is smaller than the sum of its proper divisors (1226904112).

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

461876688 is a wasteful number, since it uses less digits than its factorization.

461876688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 461876688 is about 21491.3165720483. The cubic root of 461876688 is about 772.9926200925.

The spelling of 461876688 in words is "four hundred sixty-one million, eight hundred seventy-six thousand, six hundred eighty-eight".