413745100 has 72 divisors (see below), whose sum is σ = 936415760. Its totient is φ = 158526720.

The previous prime is 413745067. The next prime is 413745107. The reversal of 413745100 is 1547314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (413745107) 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, 247066 + ... + 248734.

Almost surely, 2^413745100 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 413745100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468207880).

413745100 is an abundant number, since it is smaller than the sum of its proper divisors (522670660).

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

413745100 is a wasteful number, since it uses less digits than its factorization.

413745100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 413745100 is about 20340.7251591481. The cubic root of 413745100 is about 745.1509986260.

The spelling of 413745100 in words is "four hundred thirteen million, seven hundred forty-five thousand, one hundred".