414313400 has 96 divisors (see below), whose sum is σ = 988329600. Its totient is φ = 161481600.

The previous prime is 414313387. The next prime is 414313451. The reversal of 414313400 is 4313414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2314511 + ... + 2314689.

It is an arithmetic number, because the mean of its divisors is an integer number (10295100).

Almost surely, 2^414313400 is an apocalyptic number.

414313400 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 414313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494164800).

414313400 is an abundant number, since it is smaller than the sum of its proper divisors (574016200).

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

414313400 is a wasteful number, since it uses less digits than its factorization.

414313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 414313400 is about 20354.6898772740. The cubic root of 414313400 is about 745.4920101770.

Adding to 414313400 its reverse (4313414), we get a palindrome (418626814).

The spelling of 414313400 in words is "four hundred fourteen million, three hundred thirteen thousand, four hundred".