1146911400 has 144 divisors (see below), whose sum is σ = 3994536000. Its totient is φ = 305830080.

The previous prime is 1146911393. The next prime is 1146911417. The reversal of 1146911400 is 41196411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36801 + ... + 60399.

Almost surely, 2^1146911400 is an apocalyptic number.

1146911400 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 1146911400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997268000).

1146911400 is an abundant number, since it is smaller than the sum of its proper divisors (2847624600).

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

1146911400 is a wasteful number, since it uses less digits than its factorization.

1146911400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23630 (or 23609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1146911400 is about 33866.0803755026. The cubic root of 1146911400 is about 1046.7507719524.

The spelling of 1146911400 in words is "one billion, one hundred forty-six million, nine hundred eleven thousand, four hundred".