1155646400 has 84 divisors (see below), whose sum is σ = 3010954608. Its totient is φ = 435056640.

The previous prime is 1155646391. The next prime is 1155646409. The reversal of 1155646400 is 46465511.

It is an interprime number because it is at equal distance from previous prime (1155646391) and next prime (1155646409).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155646409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5957 + ... + 48443.

Almost surely, 2^1155646400 is an apocalyptic number.

1155646400 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 1155646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505477304).

1155646400 is an abundant number, since it is smaller than the sum of its proper divisors (1855308208).

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

1155646400 is a wasteful number, since it uses less digits than its factorization.

1155646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42526 (or 42511 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1155646400 is about 33994.7996022921. The cubic root of 1155646400 is about 1049.4014426791.

The spelling of 1155646400 in words is "one billion, one hundred fifty-five million, six hundred forty-six thousand, four hundred".