412243200 has 324 divisors, whose sum is σ = 1564267068. Its totient is φ = 103219200.

The previous prime is 412243129. The next prime is 412243243. The reversal of 412243200 is 2342214.

It can be written as a sum of positive squares in 6 ways, for example, as 49112064 + 363131136 = 7008^2 + 19056^2 .

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, 978990 + ... + 979410.

Almost surely, 2^412243200 is an apocalyptic number.

412243200 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 412243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782133534).

412243200 is an abundant number, since it is smaller than the sum of its proper divisors (1152023868).

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

412243200 is a wasteful number, since it uses less digits than its factorization.

412243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412243200 is about 20303.7730483770. The cubic root of 412243200 is about 744.2482695550.

Adding to 412243200 its reverse (2342214), we get a palindrome (414585414).

The spelling of 412243200 in words is "four hundred twelve million, two hundred forty-three thousand, two hundred".