1129901400 has 288 divisors, whose sum is σ = 4005368640. Its totient is φ = 295954560.

The previous prime is 1129901359. The next prime is 1129901429. The reversal of 1129901400 is 41099211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3256027 + ... + 3256373.

It is an arithmetic number, because the mean of its divisors is an integer number (13907530).

Almost surely, 2^1129901400 is an apocalyptic number.

1129901400 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 1129901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002684320).

1129901400 is an abundant number, since it is smaller than the sum of its proper divisors (2875467240).

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

1129901400 is a wasteful number, since it uses less digits than its factorization.

1129901400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1129901400 is about 33614.0060094003. The cubic root of 1129901400 is about 1041.5501414899.

The spelling of 1129901400 in words is "one billion, one hundred twenty-nine million, nine hundred one thousand, four hundred".