413417550 has 192 divisors, whose sum is σ = 1303916544. Its totient is φ = 84326400.

The previous prime is 413417531. The next prime is 413417551. The reversal of 413417550 is 55714314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413417551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422662 + ... + 423638.

It is an arithmetic number, because the mean of its divisors is an integer number (6791232).

Almost surely, 2^413417550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413417550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651958272).

413417550 is an abundant number, since it is smaller than the sum of its proper divisors (890498994).

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

413417550 is a wasteful number, since it uses less digits than its factorization.

413417550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 413417550 is about 20332.6719837802. The cubic root of 413417550 is about 744.9543085651.

The spelling of 413417550 in words is "four hundred thirteen million, four hundred seventeen thousand, five hundred fifty".