413193000 has 256 divisors, whose sum is σ = 1482624000. Its totient is φ = 94752000.

The previous prime is 413192987. The next prime is 413193043. The reversal of 413193000 is 391314.

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 63 ways as a sum of consecutive naturals, for example, 626671 + ... + 627329.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2^413193000 is an apocalyptic number.

413193000 is a gapful number since it is divisible by the number (40) 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 413193000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741312000).

413193000 is an abundant number, since it is smaller than the sum of its proper divisors (1069431000).

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

413193000 is a wasteful number, since it uses less digits than its factorization.

413193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 413193000 is about 20327.1493328504. The cubic root of 413193000 is about 744.8194088047.

The spelling of 413193000 in words is "four hundred thirteen million, one hundred ninety-three thousand".