461301120 has 384 divisors, whose sum is σ = 1930443840. Its totient is φ = 99090432.

The previous prime is 461301109. The next prime is 461301131. The reversal of 461301120 is 21103164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461301109) and next prime (461301131).

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 461301093 and 461301102.

It is a congruent number.

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, 685104 + ... + 685776.

Almost surely, 2^461301120 is an apocalyptic number.

461301120 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 461301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965221920).

461301120 is an abundant number, since it is smaller than the sum of its proper divisors (1469142720).

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

461301120 is a wasteful number, since it uses less digits than its factorization.

461301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 461301120 is about 21477.9216871652. The cubic root of 461301120 is about 772.6713981702.

Adding to 461301120 its reverse (21103164), we get a palindrome (482404284).

The spelling of 461301120 in words is "four hundred sixty-one million, three hundred one thousand, one hundred twenty".