413552832 has 168 divisors, whose sum is σ = 1375062528. Its totient is φ = 107374080.

The previous prime is 413552827. The next prime is 413552833. The reversal of 413552832 is 238255314.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 413552793 and 413552802.

It is not an unprimeable number, because it can be changed into a prime (413552833) 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, 161353 + ... + 163895.

It is an arithmetic number, because the mean of its divisors is an integer number (8184896).

Almost surely, 2^413552832 is an apocalyptic number.

413552832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687531264).

413552832 is an abundant number, since it is smaller than the sum of its proper divisors (961509696).

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

413552832 is a wasteful number, since it uses less digits than its factorization.

413552832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2566 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 413552832 is about 20335.9984264358. The cubic root of 413552832 is about 745.0355564610.

The spelling of 413552832 in words is "four hundred thirteen million, five hundred fifty-two thousand, eight hundred thirty-two".