1145198400 has 336 divisors, whose sum is σ = 4100779200. Its totient is φ = 278691840.

The previous prime is 1145198399. The next prime is 1145198407. The reversal of 1145198400 is 48915411.

It is a super-2 number, since 2×1145198400² = 2622958750725120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145198407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2644584 + ... + 2645016.

It is an arithmetic number, because the mean of its divisors is an integer number (12204700).

Almost surely, 2^1145198400 is an apocalyptic number.

1145198400 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 1145198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050389600).

1145198400 is an abundant number, since it is smaller than the sum of its proper divisors (2955580800).

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

1145198400 is a wasteful number, since it uses less digits than its factorization.

1145198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1145198400 is about 33840.7801328515. The cubic root of 1145198400 is about 1046.2293781415.

The spelling of 1145198400 in words is "one billion, one hundred forty-five million, one hundred ninety-eight thousand, four hundred".