413000000 has 196 divisors, whose sum is σ = 1190609760. Its totient is φ = 139200000.

The previous prime is 412999987. The next prime is 413000053. The reversal of 413000000 is 314.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6999971 + ... + 7000029.

Almost surely, 2^413000000 is an apocalyptic number.

413000000 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 413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595304880).

413000000 is an abundant number, since it is smaller than the sum of its proper divisors (777609760).

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

413000000 is an frugal number, since it uses more digits than its factorization.

413000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 413000000 is about 20322.4014329016. The cubic root of 413000000 is about 744.7034238345.

Adding to 413000000 its reverse (314), we get a palindrome (413000314).

The spelling of 413000000 in words is "four hundred thirteen million", and thus it is an aban number.