413015000 has 160 divisors (see below), whose sum is σ = 1057723920. Its totient is φ = 150528000.

The previous prime is 413014999. The next prime is 413015003. The reversal of 413015000 is 510314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413015003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3654944 + ... + 3655056.

Almost surely, 2^413015000 is an apocalyptic number.

413015000 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 413015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528861960).

413015000 is an abundant number, since it is smaller than the sum of its proper divisors (644708920).

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

413015000 is a wasteful number, since it uses less digits than its factorization.

413015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 413015000 is about 20322.7704804242. The cubic root of 413015000 is about 744.7124395053.

Adding to 413015000 its reverse (510314), we get a palindrome (413525314).

The spelling of 413015000 in words is "four hundred thirteen million, fifteen thousand".