1164448440 has 128 divisors (see below), whose sum is σ = 4085856000. Its totient is φ = 294171264.

The previous prime is 1164448427. The next prime is 1164448469. The reversal of 1164448440 is 448444611.

1164448440 is a `hidden beast` number, since 1 + 1 + 644 + 4 + 8 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1164448395 and 1164448404.

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, 7854 + ... + 48893.

It is an arithmetic number, because the mean of its divisors is an integer number (31920750).

Almost surely, 2^1164448440 is an apocalyptic number.

1164448440 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 1164448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042928000).

1164448440 is an abundant number, since it is smaller than the sum of its proper divisors (2921407560).

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

1164448440 is a wasteful number, since it uses less digits than its factorization.

1164448440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56786 (or 56776 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1164448440 is about 34124.0155901969. The cubic root of 1164448440 is about 1052.0589802456.

The spelling of 1164448440 in words is "one billion, one hundred sixty-four million, four hundred forty-eight thousand, four hundred forty".