461777120 has 192 divisors, whose sum is σ = 1341204480. Its totient is φ = 146644992.

The previous prime is 461777111. The next prime is 461777149. The reversal of 461777120 is 21777164.

It is a Cunningham number, because it is equal to 21489²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504007 + ... + 1504313.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^461777120 is an apocalyptic number.

461777120 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 461777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

461777120 is an abundant number, since it is smaller than the sum of its proper divisors (879427360).

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

461777120 is a wasteful number, since it uses less digits than its factorization.

461777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 461777120 is about 21488.9999767323. Note that the first 4 decimals coincide. The cubic root of 461777120 is about 772.9370707345.

The spelling of 461777120 in words is "four hundred sixty-one million, seven hundred seventy-seven thousand, one hundred twenty".