414201400 has 24 divisors (see below), whose sum is σ = 963018720. Its totient is φ = 165680480.

The previous prime is 414201397. The next prime is 414201401. The reversal of 414201400 is 4102414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414201401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1035304 + ... + 1035703.

It is an arithmetic number, because the mean of its divisors is an integer number (40125780).

Almost surely, 2^414201400 is an apocalyptic number.

414201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414201400 is an abundant number, since it is smaller than the sum of its proper divisors (548817320).

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

414201400 is a wasteful number, since it uses less digits than its factorization.

414201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071023 (or 2071014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 414201400 is about 20351.9384826114. The cubic root of 414201400 is about 745.4248286425.

Adding to 414201400 its reverse (4102414), we get a palindrome (418303814).

The spelling of 414201400 in words is "four hundred fourteen million, two hundred one thousand, four hundred".