412414400 has 84 divisors (see below), whose sum is σ = 1018958592. Its totient is φ = 164290560.

The previous prime is 412414381. The next prime is 412414433. The reversal of 412414400 is 4414214.

It is a happy number.

It is a super-3 number, since 3×412414400³ (a number of 27 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 612464 + ... + 613136.

Almost surely, 2^412414400 is an apocalyptic number.

412414400 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 412414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509479296).

412414400 is an abundant number, since it is smaller than the sum of its proper divisors (606544192).

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

412414400 is a wasteful number, since it uses less digits than its factorization.

412414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 412414400 is about 20307.9885759275. The cubic root of 412414400 is about 744.3512812964.

Adding to 412414400 its reverse (4414214), we get a palindrome (416828614).

The spelling of 412414400 in words is "four hundred twelve million, four hundred fourteen thousand, four hundred".