461103120 has 60 divisors (see below), whose sum is σ = 1548540396. Its totient is φ = 122960640.

The previous prime is 461103109. The next prime is 461103143. The reversal of 461103120 is 21301164.

It is a happy number.

461103120 is a `hidden beast` number, since 4 + 611 + 0 + 31 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 404492544 = 7524^2 + 20112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×461103120³ (a number of 27 digits) contains 333 as substring.

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 = 461103093 and 461103102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319491 + ... + 320930.

Almost surely, 2^461103120 is an apocalyptic number.

461103120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461103120 is an abundant number, since it is smaller than the sum of its proper divisors (1087437276).

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

461103120 is a wasteful number, since it uses less digits than its factorization.

461103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640440 (or 640431 counting only the distinct ones).

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

The square root of 461103120 is about 21473.3118079164. The cubic root of 461103120 is about 772.5608334913.

Adding to 461103120 its reverse (21301164), we get a palindrome (482404284).

The spelling of 461103120 in words is "four hundred sixty-one million, one hundred three thousand, one hundred twenty".