413403400 has 48 divisors (see below), whose sum is σ = 975540240. Its totient is φ = 162888000.

The previous prime is 413403379. The next prime is 413403407. The reversal of 413403400 is 4304314.

It is a super-2 number, since 2×413403400² = 341804742263120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413403407) 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, 2026 + ... + 28825.

It is an arithmetic number, because the mean of its divisors is an integer number (20323755).

Almost surely, 2^413403400 is an apocalyptic number.

413403400 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 413403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487770120).

413403400 is an abundant number, since it is smaller than the sum of its proper divisors (562136840).

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

413403400 is a wasteful number, since it uses less digits than its factorization.

413403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30934 (or 30925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 413403400 is about 20332.3240186655. The cubic root of 413403400 is about 744.9458093100.

Adding to 413403400 its reverse (4304314), we get a palindrome (417707714).

The spelling of 413403400 in words is "four hundred thirteen million, four hundred three thousand, four hundred".