410408120 has 32 divisors (see below), whose sum is σ = 930700800. Its totient is φ = 162868608.

The previous prime is 410408111. The next prime is 410408123. The reversal of 410408120 is 21804014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 410408092 and 410408101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410408123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35315 + ... + 45474.

It is an arithmetic number, because the mean of its divisors is an integer number (29084400).

Almost surely, 2^410408120 is an apocalyptic number.

410408120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410408120 is an abundant number, since it is smaller than the sum of its proper divisors (520292680).

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

410408120 is a wasteful number, since it uses less digits than its factorization.

410408120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80927 (or 80923 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 410408120 is about 20258.5320297400. The cubic root of 410408120 is about 743.1422988794.

The spelling of 410408120 in words is "four hundred ten million, four hundred eight thousand, one hundred twenty".