412412400 has 180 divisors, whose sum is σ = 1445689960. Its totient is φ = 108864000.

The previous prime is 412412389. The next prime is 412412411. The reversal of 412412400 is 4214214.

It is an interprime number because it is at equal distance from previous prime (412412389) and next prime (412412411).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 391875 + ... + 392925.

Almost surely, 2^412412400 is an apocalyptic number.

412412400 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 412412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722844980).

412412400 is an abundant number, since it is smaller than the sum of its proper divisors (1033277560).

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

412412400 is a wasteful number, since it uses less digits than its factorization.

412412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412412400 is about 20307.9393341619. The cubic root of 412412400 is about 744.3500780528.

Adding to 412412400 its reverse (4214214), we get a palindrome (416626614).

The spelling of 412412400 in words is "four hundred twelve million, four hundred twelve thousand, four hundred".