412017400 has 96 divisors (see below), whose sum is σ = 1023327360. Its totient is φ = 153901440.

The previous prime is 412017383. The next prime is 412017409. The reversal of 412017400 is 4710214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412017409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196759 + ... + 198841.

It is an arithmetic number, because the mean of its divisors is an integer number (10659660).

Almost surely, 2^412017400 is an apocalyptic number.

412017400 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 412017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511663680).

412017400 is an abundant number, since it is smaller than the sum of its proper divisors (611309960).

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

412017400 is a wasteful number, since it uses less digits than its factorization.

412017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 412017400 is about 20298.2117438951. The cubic root of 412017400 is about 744.1123611470.

Adding to 412017400 its reverse (4710214), we get a palindrome (416727614).

The spelling of 412017400 in words is "four hundred twelve million, seventeen thousand, four hundred".