413487104 has 78 divisors (see below), whose sum is σ = 870129930. Its totient is φ = 196231168.

The previous prime is 413487071. The next prime is 413487119. The reversal of 413487104 is 401784314.

It can be written as a sum of positive squares in only one way, i.e., 356454400 + 57032704 = 18880^2 + 7552^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7008227 + ... + 7008285.

Almost surely, 2^413487104 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 413487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435064965).

413487104 is an abundant number, since it is smaller than the sum of its proper divisors (456642826).

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

413487104 is an frugal number, since it uses more digits than its factorization.

413487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 413487104 is about 20334.3823117399. The cubic root of 413487104 is about 744.9960836393.

The spelling of 413487104 in words is "four hundred thirteen million, four hundred eighty-seven thousand, one hundred four".