461025120 has 96 divisors (see below), whose sum is σ = 1528692480. Its totient is φ = 116467200.

The previous prime is 461025109. The next prime is 461025163. The reversal of 461025120 is 21520164.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×461025120² = 425088322542028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16156 + ... + 34395.

It is an arithmetic number, because the mean of its divisors is an integer number (15923880).

Almost surely, 2^461025120 is an apocalyptic number.

461025120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461025120 is an abundant number, since it is smaller than the sum of its proper divisors (1067667360).

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

461025120 is a wasteful number, since it uses less digits than its factorization.

461025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50588 (or 50580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 461025120 is about 21471.4955231349. The cubic root of 461025120 is about 772.5172690183.

Adding to 461025120 its reverse (21520164), we get a palindrome (482545284).

The spelling of 461025120 in words is "four hundred sixty-one million, twenty-five thousand, one hundred twenty".