416220120 has 96 divisors (see below), whose sum is σ = 1402848720. Its totient is φ = 110989440.

The previous prime is 416220107. The next prime is 416220131. The reversal of 416220120 is 21022614.

416220120 is a `hidden beast` number, since 41 + 622 + 0 + 1 + 2 + 0 = 666.

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 = 416220093 and 416220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11691 + ... + 31130.

Almost surely, 2^416220120 is an apocalyptic number.

416220120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416220120 is an abundant number, since it is smaller than the sum of its proper divisors (986628600).

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

416220120 is a wasteful number, since it uses less digits than its factorization.

416220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42847 (or 42831 counting only the distinct ones).

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

The square root of 416220120 is about 20401.4734761977. The cubic root of 416220120 is about 746.6338748708.

Adding to 416220120 its reverse (21022614), we get a palindrome (437242734).

The spelling of 416220120 in words is "four hundred sixteen million, two hundred twenty thousand, one hundred twenty".