1154040400 has 30 divisors (see below), whose sum is σ = 2772583022. Its totient is φ = 461616000.

The previous prime is 1154040389. The next prime is 1154040403. The reversal of 1154040400 is 40404511.

It can be written as a sum of positive squares in 3 ways, for example, as 16192576 + 1137847824 = 4024^2 + 33732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154040403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1442151 + ... + 1442950.

Almost surely, 2^1154040400 is an apocalyptic number.

1154040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1154040400 is an abundant number, since it is smaller than the sum of its proper divisors (1618542622).

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

1154040400 is a wasteful number, since it uses less digits than its factorization.

1154040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885119 (or 2885108 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1154040400 is about 33971.1701299793. The cubic root of 1154040400 is about 1048.9151001369.

Adding to 1154040400 its reverse (40404511), we get a palindrome (1194444911).

It can be divided in two parts, 1154040 and 400, that added together give a triangular number (1154440 = T₁₅₁₉).

The spelling of 1154040400 in words is "one billion, one hundred fifty-four million, forty thousand, four hundred".