461690880 has 384 divisors, whose sum is σ = 1792627200. Its totient is φ = 99090432.

The previous prime is 461690869. The next prime is 461690881. The reversal of 461690880 is 88096164.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461690881) 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, 4085704 + ... + 4085816.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^461690880 is an apocalyptic number.

461690880 is a gapful number since it is divisible by the number (40) 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 461690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

461690880 is an abundant number, since it is smaller than the sum of its proper divisors (1330936320).

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

461690880 is a wasteful number, since it uses less digits than its factorization.

461690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 461690880 is about 21486.9932750024. The cubic root of 461690880 is about 772.8889506638. Note that the first 3 decimals are identical.

The spelling of 461690880 in words is "four hundred sixty-one million, six hundred ninety thousand, eight hundred eighty".