414447990 has 192 divisors, whose sum is σ = 1176698880. Its totient is φ = 93139200.

The previous prime is 414447911. The next prime is 414448003. The reversal of 414447990 is 99744414.

It is a super-3 number, since 3×414447990³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3263307 + ... + 3263433.

It is an arithmetic number, because the mean of its divisors is an integer number (6128640).

Almost surely, 2^414447990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414447990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588349440).

414447990 is an abundant number, since it is smaller than the sum of its proper divisors (762250890).

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

414447990 is a wasteful number, since it uses less digits than its factorization.

414447990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 414447990 is about 20357.9957264953. The cubic root of 414447990 is about 745.5727259724.

The spelling of 414447990 in words is "four hundred fourteen million, four hundred forty-seven thousand, nine hundred ninety".