413052500 has 60 divisors (see below), whose sum is σ = 1032344544. Its totient is φ = 141612000.

The previous prime is 413052499. The next prime is 413052503. The reversal of 413052500 is 5250314.

It is a super-2 number, since 2×413052500² = 341224735512500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413052503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5699 + ... + 29301.

Almost surely, 2^413052500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516172272).

413052500 is an abundant number, since it is smaller than the sum of its proper divisors (619292044).

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

413052500 is a wasteful number, since it uses less digits than its factorization.

413052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23634 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 413052500 is about 20323.6930699123. The cubic root of 413052500 is about 744.7349777273.

The spelling of 413052500 in words is "four hundred thirteen million, fifty-two thousand, five hundred".