413655354 has 72 divisors (see below), whose sum is σ = 1062371700. Its totient is φ = 115944192.

The previous prime is 413655353. The next prime is 413655377. The reversal of 413655354 is 453556314.

It can be written as a sum of positive squares in 2 ways, for example, as 387184329 + 26471025 = 19677^2 + 5145^2 .

It is a super-2 number, since 2×413655354² = 342221503785730632, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413655353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42322 + ... + 51170.

Almost surely, 2^413655354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413655354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531185850).

413655354 is an abundant number, since it is smaller than the sum of its proper divisors (648716346).

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

413655354 is a wasteful number, since it uses less digits than its factorization.

413655354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8914 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 413655354 is about 20338.5189726293. The cubic root of 413655354 is about 745.0971174986.

The spelling of 413655354 in words is "four hundred thirteen million, six hundred fifty-five thousand, three hundred fifty-four".