1155476400 has 240 divisors, whose sum is σ = 4221542304. Its totient is φ = 267632640.

The previous prime is 1155476347. The next prime is 1155476401. The reversal of 1155476400 is 46745511.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1155476401) 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, 263022 + ... + 267378.

Almost surely, 2^1155476400 is an apocalyptic number.

1155476400 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 1155476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110771152).

1155476400 is an abundant number, since it is smaller than the sum of its proper divisors (3066065904).

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

1155476400 is a wasteful number, since it uses less digits than its factorization.

1155476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1155476400 is about 33992.2991278907. The cubic root of 1155476400 is about 1049.3499831688.

The spelling of 1155476400 in words is "one billion, one hundred fifty-five million, four hundred seventy-six thousand, four hundred".