412310400 has 192 divisors, whose sum is σ = 1405825200. Its totient is φ = 106086400.

The previous prime is 412310387. The next prime is 412310411. The reversal of 412310400 is 4013214.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 412310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277660 + ... + 279140.

Almost surely, 2^412310400 is an apocalyptic number.

412310400 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 412310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702912600).

412310400 is an abundant number, since it is smaller than the sum of its proper divisors (993514800).

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

412310400 is a wasteful number, since it uses less digits than its factorization.

412310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 412310400 is about 20305.4278457756. The cubic root of 412310400 is about 744.2887074700.

Adding to 412310400 its reverse (4013214), we get a palindrome (416323614).

The spelling of 412310400 in words is "four hundred twelve million, three hundred ten thousand, four hundred".