413533100 has 72 divisors (see below), whose sum is σ = 985770240. Its totient is φ = 149878080.

The previous prime is 413533097. The next prime is 413533103. The reversal of 413533100 is 1335314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413533097) and next prime (413533103).

It is a super-2 number, since 2×413533100² = 342019249591220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (413533103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38969 + ... + 48431.

Almost surely, 2^413533100 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 413533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492885120).

413533100 is an abundant number, since it is smaller than the sum of its proper divisors (572237140).

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

413533100 is a wasteful number, since it uses less digits than its factorization.

413533100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 413533100 is about 20335.5132711225. The cubic root of 413533100 is about 745.0237068864.

Adding to 413533100 its reverse (1335314), we get a palindrome (414868414).

The spelling of 413533100 in words is "four hundred thirteen million, five hundred thirty-three thousand, one hundred".