412084120 has 48 divisors (see below), whose sum is σ = 1078572240. Its totient is φ = 141285312.

The previous prime is 412084117. The next prime is 412084129. The reversal of 412084120 is 21480214.

It is a junction number, because it is equal to n+sod(n) for n = 412084091 and 412084100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412084129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103164 + ... + 107083.

It is an arithmetic number, because the mean of its divisors is an integer number (22470255).

Almost surely, 2^412084120 is an apocalyptic number.

412084120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412084120 is an abundant number, since it is smaller than the sum of its proper divisors (666488120).

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

412084120 is a wasteful number, since it uses less digits than its factorization.

412084120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210272 (or 210261 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 412084120 is about 20299.8551718972. The cubic root of 412084120 is about 744.1525249015.

The spelling of 412084120 in words is "four hundred twelve million, eighty-four thousand, one hundred twenty".