403222400 has 192 divisors, whose sum is σ = 1165639680. Its totient is φ = 134952960.

The previous prime is 403222387. The next prime is 403222423. The reversal of 403222400 is 4222304.

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, 1052609 + ... + 1052991.

It is an arithmetic number, because the mean of its divisors is an integer number (6071040).

Almost surely, 2^403222400 is an apocalyptic number.

403222400 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 403222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840).

403222400 is an abundant number, since it is smaller than the sum of its proper divisors (762417280).

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

403222400 is a wasteful number, since it uses less digits than its factorization.

403222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 403222400 is about 20080.3984024222. The cubic root of 403222400 is about 738.7795807758.

Adding to 403222400 its reverse (4222304), we get a palindrome (407444704).

The spelling of 403222400 in words is "four hundred three million, two hundred twenty-two thousand, four hundred".