413352500 has 60 divisors (see below), whose sum is σ = 986159328. Its totient is φ = 150300000.

The previous prime is 413352497. The next prime is 413352503. The reversal of 413352500 is 5253314.

It is an interprime number because it is at equal distance from previous prime (413352497) and next prime (413352503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413352503) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19985 + ... + 35015.

Almost surely, 2^413352500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493079664).

413352500 is an abundant number, since it is smaller than the sum of its proper divisors (572806828).

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

413352500 is a wasteful number, since it uses less digits than its factorization.

413352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 15049 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 413352500 is about 20331.0722786576. The cubic root of 413352500 is about 744.9152344139.

The spelling of 413352500 in words is "four hundred thirteen million, three hundred fifty-two thousand, five hundred".