414555400 has 192 divisors, whose sum is σ = 1160282880. Its totient is φ = 134784000.

The previous prime is 414555391. The next prime is 414555403. The reversal of 414555400 is 4555414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (414555403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745325 + ... + 2745475.

It is an arithmetic number, because the mean of its divisors is an integer number (6043140).

Almost surely, 2^414555400 is an apocalyptic number.

414555400 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 414555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580141440).

414555400 is an abundant number, since it is smaller than the sum of its proper divisors (745727480).

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

414555400 is a wasteful number, since it uses less digits than its factorization.

414555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 414555400 is about 20360.6335854266. The cubic root of 414555400 is about 745.6371289464.

The spelling of 414555400 in words is "four hundred fourteen million, five hundred fifty-five thousand, four hundred".