413400330 has 96 divisors (see below), whose sum is σ = 1239473664. Its totient is φ = 93639168.

The previous prime is 413400329. The next prime is 413400353. The reversal of 413400330 is 33004314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68287 + ... + 74093.

It is an arithmetic number, because the mean of its divisors is an integer number (12911184).

Almost surely, 2^413400330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619736832).

413400330 is an abundant number, since it is smaller than the sum of its proper divisors (826073334).

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

413400330 is a wasteful number, since it uses less digits than its factorization.

413400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 413400330 is about 20332.2485229745. The cubic root of 413400330 is about 744.9439652764.

Adding to 413400330 its reverse (33004314), we get a palindrome (446404644).

The spelling of 413400330 in words is "four hundred thirteen million, four hundred thousand, three hundred thirty".