1145877840 has 400 divisors, whose sum is σ = 4310349120. Its totient is φ = 281180160.

The previous prime is 1145877797. The next prime is 1145877851. The reversal of 1145877840 is 487785411.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5047807 + ... + 5048033.

Almost surely, 2^1145877840 is an apocalyptic number.

1145877840 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 1145877840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

1145877840 is an abundant number, since it is smaller than the sum of its proper divisors (3164471280).

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

1145877840 is a wasteful number, since it uses less digits than its factorization.

1145877840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 1145877840 is about 33850.8174199679. The cubic root of 1145877840 is about 1046.4362446414.

It can be divided in two parts, 11458 and 77840, that added together give a palindrome (89298).

The spelling of 1145877840 in words is "one billion, one hundred forty-five million, eight hundred seventy-seven thousand, eight hundred forty".