410222400 has 336 divisors, whose sum is σ = 1594957440. Its totient is φ = 90316800.

The previous prime is 410222387. The next prime is 410222401. The reversal of 410222400 is 4222014.

It is a tau number, because it is divible by the number of its divisors (336).

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 410222400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410222401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974190 + ... + 974610.

Almost surely, 2^410222400 is an apocalyptic number.

410222400 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 410222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797478720).

410222400 is an abundant number, since it is smaller than the sum of its proper divisors (1184735040).

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

410222400 is a wasteful number, since it uses less digits than its factorization.

410222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 410222400 is about 20253.9477633374. The cubic root of 410222400 is about 743.0301851038.

Adding to 410222400 its reverse (4222014), we get a palindrome (414444414).

The spelling of 410222400 in words is "four hundred ten million, two hundred twenty-two thousand, four hundred".