1154005440 has 224 divisors, whose sum is σ = 4239889920. Its totient is φ = 260468736.

The previous prime is 1154005343. The next prime is 1154005471. The reversal of 1154005440 is 445004511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1154005440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556726 + ... + 558794.

It is an arithmetic number, because the mean of its divisors is an integer number (18928080).

Almost surely, 2^1154005440 is an apocalyptic number.

1154005440 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 1154005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119944960).

1154005440 is an abundant number, since it is smaller than the sum of its proper divisors (3085884480).

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

1154005440 is a wasteful number, since it uses less digits than its factorization.

1154005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1154005440 is about 33970.6555721258. The cubic root of 1154005440 is about 1048.9045082367.

Adding to 1154005440 its reverse (445004511), we get a palindrome (1599009951).

The spelling of 1154005440 in words is "one billion, one hundred fifty-four million, five thousand, four hundred forty".