1234226400 has 144 divisors (see below), whose sum is σ = 4382719488. Its totient is φ = 299200000.

The previous prime is 1234226393. The next prime is 1234226417. The reversal of 1234226400 is 46224321.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025 + ... + 49775.

It is an arithmetic number, because the mean of its divisors is an integer number (30435552).

Almost surely, 2^1234226400 is an apocalyptic number.

1234226400 is a gapful number since it is divisible by the number (10) 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 1234226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191359744).

1234226400 is an abundant number, since it is smaller than the sum of its proper divisors (3148493088).

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

1234226400 is a wasteful number, since it uses less digits than its factorization.

1234226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46785 (or 46772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1234226400 is about 35131.5584624423. The cubic root of 1234226400 is about 1072.6670590282.

The spelling of 1234226400 in words is "one billion, two hundred thirty-four million, two hundred twenty-six thousand, four hundred".