416729388 has 54 divisors (see below), whose sum is σ = 998282572. Its totient is φ = 135303280.

The previous prime is 416729377. The next prime is 416729399. The reversal of 416729388 is 883927614.

It is an interprime number because it is at equal distance from previous prime (416729377) and next prime (416729399).

It is a super-3 number, since 3×416729388³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5020795 + ... + 5020877.

Almost surely, 2^416729388 is an apocalyptic number.

It is an amenable number.

416729388 is an abundant number, since it is smaller than the sum of its proper divisors (581553184).

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

416729388 is an equidigital number, since it uses as much as digits as its factorization.

416729388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 159 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 416729388 is about 20413.9508180068. The cubic root of 416729388 is about 746.9382665033.

Multiplying 416729388 by its sum of digits (48), we get a square (20003010624 = 141432²).

The spelling of 416729388 in words is "four hundred sixteen million, seven hundred twenty-nine thousand, three hundred eighty-eight".