413010400 has 72 divisors (see below), whose sum is σ = 1099945224. Its totient is φ = 150182400.

The previous prime is 413010349. The next prime is 413010401. The reversal of 413010400 is 4010314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413010401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14667 + ... + 32266.

It is an arithmetic number, because the mean of its divisors is an integer number (15277017).

Almost surely, 2^413010400 is an apocalyptic number.

413010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413010400 is an abundant number, since it is smaller than the sum of its proper divisors (686934824).

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

413010400 is a wasteful number, since it uses less digits than its factorization.

413010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46964 (or 46951 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 413010400 is about 20322.6573065630. The cubic root of 413010400 is about 744.7096747228.

Adding to 413010400 its reverse (4010314), we get a palindrome (417020714).

The spelling of 413010400 in words is "four hundred thirteen million, ten thousand, four hundred".