1154000440 has 64 divisors (see below), whose sum is σ = 2663892000. Its totient is φ = 449763840.

The previous prime is 1154000423. The next prime is 1154000467. The reversal of 1154000440 is 440004511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263791 + ... + 268129.

Almost surely, 2^1154000440 is an apocalyptic number.

1154000440 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 1154000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331946000).

1154000440 is an abundant number, since it is smaller than the sum of its proper divisors (1509891560).

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

1154000440 is a wasteful number, since it uses less digits than its factorization.

1154000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4516 counting only the distinct ones).

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

The square root of 1154000440 is about 33970.5819791183. The cubic root of 1154000440 is about 1048.9029933593.

Adding to 1154000440 its reverse (440004511), we get a palindrome (1594004951).

It can be divided in two parts, 1154000 and 440, that added together give a triangular number (1154440 = T₁₅₁₉).

The spelling of 1154000440 in words is "one billion, one hundred fifty-four million, four hundred forty", and thus it is an aban number.