461119680 has 336 divisors, whose sum is σ = 1840138560. Its totient is φ = 103809024.

The previous prime is 461119651. The next prime is 461119733. The reversal of 461119680 is 86911164.

It is a happy number.

461119680 is a `hidden beast` number, since 461 + 1 + 196 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794112 + ... + 1794368.

Almost surely, 2^461119680 is an apocalyptic number.

461119680 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 461119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920069280).

461119680 is an abundant number, since it is smaller than the sum of its proper divisors (1379018880).

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

461119680 is a wasteful number, since it uses less digits than its factorization.

461119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 461119680 is about 21473.6973993768. The cubic root of 461119680 is about 772.5700819317.

The spelling of 461119680 in words is "four hundred sixty-one million, one hundred nineteen thousand, six hundred eighty".