413058000 has 160 divisors (see below), whose sum is σ = 1363519872. Its totient is φ = 107520000.

The previous prime is 413057947. The next prime is 413058011. The reversal of 413058000 is 850314.

It is a super-3 number, since 3×413058000³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257200 + ... + 258800.

Almost surely, 2^413058000 is an apocalyptic number.

413058000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681759936).

413058000 is an abundant number, since it is smaller than the sum of its proper divisors (950461872).

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

413058000 is a wasteful number, since it uses less digits than its factorization.

413058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 413058000 is about 20323.8283795155. The cubic root of 413058000 is about 744.7382832185.

The spelling of 413058000 in words is "four hundred thirteen million, fifty-eight thousand".