412209600 has 336 divisors, whose sum is σ = 1522390656. Its totient is φ = 96768000.

The previous prime is 412209587. The next prime is 412209671. The reversal of 412209600 is 6902214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953495 + ... + 1953705.

Almost surely, 2^412209600 is an apocalyptic number.

412209600 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 412209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761195328).

412209600 is an abundant number, since it is smaller than the sum of its proper divisors (1110181056).

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

412209600 is a wasteful number, since it uses less digits than its factorization.

412209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 412209600 is about 20302.9455990997. The cubic root of 412209600 is about 744.2280489496.

It can be divided in two parts, 412 and 209600, that added together give a palindrome (210012).

The spelling of 412209600 in words is "four hundred twelve million, two hundred nine thousand, six hundred".