413514100 has 72 divisors (see below), whose sum is σ = 954175040. Its totient is φ = 155105280.

The previous prime is 413514083. The next prime is 413514107. The reversal of 413514100 is 1415314.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413514107) 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, 194644 + ... + 196756.

Almost surely, 2^413514100 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 413514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477087520).

413514100 is an abundant number, since it is smaller than the sum of its proper divisors (540660940).

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

413514100 is a wasteful number, since it uses less digits than its factorization.

413514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 413514100 is about 20335.0461027262. The cubic root of 413514100 is about 745.0122965404.

Adding to 413514100 its reverse (1415314), we get a palindrome (414929414).

It can be divided in two parts, 41351 and 4100, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 413514100 in words is "four hundred thirteen million, five hundred fourteen thousand, one hundred".