1145654400 has 384 divisors, whose sum is σ = 4340793600. Its totient is φ = 262656000.

The previous prime is 1145654371. The next prime is 1145654407. The reversal of 1145654400 is 44565411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1145654407) 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, 2006115 + ... + 2006685.

It is an arithmetic number, because the mean of its divisors is an integer number (11304150).

Almost surely, 2^1145654400 is an apocalyptic number.

1145654400 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 1145654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170396800).

1145654400 is an abundant number, since it is smaller than the sum of its proper divisors (3195139200).

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

1145654400 is a wasteful number, since it uses less digits than its factorization.

1145654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1145654400 is about 33847.5168956306. The cubic root of 1145654400 is about 1046.3682237449.

It can be divided in two parts, 11456 and 54400, that added together give a palindrome (65856).

The spelling of 1145654400 in words is "one billion, one hundred forty-five million, six hundred fifty-four thousand, four hundred".