223430400 has 270 divisors, whose sum is σ = 828040752. Its totient is φ = 59443200.

The previous prime is 223430399. The next prime is 223430401. The reversal of 223430400 is 4034322.

223430400 is a `hidden beast` number, since 2 + 234 + 30 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (223430399) and next prime (223430401).

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×223430400² = 99842287288320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223430401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518185 + ... + 518615.

Almost surely, 2^223430400 is an apocalyptic number.

223430400 is a gapful number since it is divisible by the number (20) 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 223430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414020376).

223430400 is an abundant number, since it is smaller than the sum of its proper divisors (604610352).

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

223430400 is an equidigital number, since it uses as much as digits as its factorization.

223430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223430400 is about 14947.5884342592. The cubic root of 223430400 is about 606.8025832949.

Adding to 223430400 its reverse (4034322), we get a palindrome (227464722).

The spelling of 223430400 in words is "two hundred twenty-three million, four hundred thirty thousand, four hundred".