413048832 has 168 divisors, whose sum is σ = 1284951456. Its totient is φ = 118013952.

The previous prime is 413048821. The next prime is 413048833. The reversal of 413048832 is 238840314.

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

It is a junction number, because it is equal to n+sod(n) for n = 413048793 and 413048802.

It is not an unprimeable number, because it can be changed into a prime (413048833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59006973 + ... + 59006979.

Almost surely, 2^413048832 is an apocalyptic number.

413048832 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 413048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642475728).

413048832 is an abundant number, since it is smaller than the sum of its proper divisors (871902624).

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

413048832 is an frugal number, since it uses more digits than its factorization.

413048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 413048832 is about 20323.6028302070. The cubic root of 413048832 is about 744.7327732489.

The spelling of 413048832 in words is "four hundred thirteen million, forty-eight thousand, eight hundred thirty-two".