1118920400 has 120 divisors (see below), whose sum is σ = 2923500384. Its totient is φ = 409075200.

The previous prime is 1118920391. The next prime is 1118920423. The reversal of 1118920400 is 40298111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1118920400.

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, 555395 + ... + 557405.

Almost surely, 2^1118920400 is an apocalyptic number.

1118920400 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 1118920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461750192).

1118920400 is an abundant number, since it is smaller than the sum of its proper divisors (1804579984).

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

1118920400 is a wasteful number, since it uses less digits than its factorization.

1118920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1118920400 is about 33450.2675624576. The cubic root of 1118920400 is about 1038.1650335369.

The spelling of 1118920400 in words is "one billion, one hundred eighteen million, nine hundred twenty thousand, four hundred".