413553630 has 192 divisors, whose sum is σ = 1218888000. Its totient is φ = 89413632.

The previous prime is 413553557. The next prime is 413553653. The reversal of 413553630 is 36355314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3794016 + ... + 3794124.

It is an arithmetic number, because the mean of its divisors is an integer number (6348375).

Almost surely, 2^413553630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413553630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609444000).

413553630 is an abundant number, since it is smaller than the sum of its proper divisors (805334370).

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

413553630 is a wasteful number, since it uses less digits than its factorization.

413553630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 413553630 is about 20336.0180468055. The cubic root of 413553630 is about 745.0360356727.

The spelling of 413553630 in words is "four hundred thirteen million, five hundred fifty-three thousand, six hundred thirty".