1122448400 has 30 divisors (see below), whose sum is σ = 2696683242. Its totient is φ = 448979200.

The previous prime is 1122448367. The next prime is 1122448429. The reversal of 1122448400 is 48442211.

It can be written as a sum of positive squares in 3 ways, for example, as 21270544 + 1101177856 = 4612^2 + 33184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1122448400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1402661 + ... + 1403460.

Almost surely, 2^1122448400 is an apocalyptic number.

1122448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122448400 is an abundant number, since it is smaller than the sum of its proper divisors (1574234842).

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

1122448400 is a wasteful number, since it uses less digits than its factorization.

1122448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806139 (or 2806128 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 1122448400 is about 33502.9610631657. The cubic root of 1122448400 is about 1039.2550138066.

The spelling of 1122448400 in words is "one billion, one hundred twenty-two million, four hundred forty-eight thousand, four hundred".