1228970400 has 288 divisors, whose sum is σ = 4607705088. Its totient is φ = 278707200.

The previous prime is 1228970389. The next prime is 1228970437. The reversal of 1228970400 is 40798221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208609 + ... + 3208991.

It is an arithmetic number, because the mean of its divisors is an integer number (15998976).

Almost surely, 2^1228970400 is an apocalyptic number.

1228970400 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 1228970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303852544).

1228970400 is an abundant number, since it is smaller than the sum of its proper divisors (3378734688).

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

1228970400 is a wasteful number, since it uses less digits than its factorization.

1228970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1228970400 is about 35056.6741149243. The cubic root of 1228970400 is about 1071.1422279884.

The spelling of 1228970400 in words is "one billion, two hundred twenty-eight million, nine hundred seventy thousand, four hundred".