413332000 has 48 divisors (see below), whose sum is σ = 1015566552. Its totient is φ = 165331200.

The previous prime is 413331973. The next prime is 413332019. The reversal of 413332000 is 233314.

It can be written as a sum of positive squares in 4 ways, for example, as 220344336 + 192987664 = 14844^2 + 13892^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47667 + ... + 55666.

Almost surely, 2^413332000 is an apocalyptic number.

413332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413332000 is an abundant number, since it is smaller than the sum of its proper divisors (602234552).

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

413332000 is a wasteful number, since it uses less digits than its factorization.

413332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103358 (or 103340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 413332000 is about 20330.5681179843. The cubic root of 413332000 is about 744.9029196504.

Adding to 413332000 its reverse (233314), we get a palindrome (413565314).

The spelling of 413332000 in words is "four hundred thirteen million, three hundred thirty-two thousand".