413214120 has 96 divisors (see below), whose sum is σ = 1465045920. Its totient is φ = 100172160.

The previous prime is 413214119. The next prime is 413214157. The reversal of 413214120 is 21412314.

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 = 413214093 and 413214102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48214 + ... + 56133.

It is an arithmetic number, because the mean of its divisors is an integer number (15260895).

Almost surely, 2^413214120 is an apocalyptic number.

413214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413214120 is an abundant number, since it is smaller than the sum of its proper divisors (1051831800).

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

413214120 is a wasteful number, since it uses less digits than its factorization.

413214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104375 (or 104368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413214120 is about 20327.6688284712. The cubic root of 413214120 is about 744.8320988534.

Adding to 413214120 its reverse (21412314), we get a palindrome (434626434).

The spelling of 413214120 in words is "four hundred thirteen million, two hundred fourteen thousand, one hundred twenty".