413117950 has 192 divisors, whose sum is σ = 1004221440. Its totient is φ = 123171840.

The previous prime is 413117923. The next prime is 413118001. The reversal of 413117950 is 59711314.

It is a super-2 number, since 2×413117950² = 341332881224405000, which contains 22 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, 5659114 + ... + 5659186.

It is an arithmetic number, because the mean of its divisors is an integer number (5230320).

Almost surely, 2^413117950 is an apocalyptic number.

413117950 is an abundant number, since it is smaller than the sum of its proper divisors (591103490).

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

413117950 is a wasteful number, since it uses less digits than its factorization.

413117950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 413117950 is about 20325.3031957705. The cubic root of 413117950 is about 744.7743111696.

The spelling of 413117950 in words is "four hundred thirteen million, one hundred seventeen thousand, nine hundred fifty".