1465378944 has 128 divisors (see below), whose sum is σ = 4112640000. Its totient is φ = 461362176.

The previous prime is 1465378939. The next prime is 1465378963. The reversal of 1465378944 is 4498735641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 732057 + ... + 734055.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 2^1465378944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1465378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320000).

1465378944 is an abundant number, since it is smaller than the sum of its proper divisors (2647261056).

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

1465378944 is a wasteful number, since it uses less digits than its factorization.

1465378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 1465378944 is about 38280.2683376175. The cubic root of 1465378944 is about 1135.8386665022.

The spelling of 1465378944 in words is "one billion, four hundred sixty-five million, three hundred seventy-eight thousand, nine hundred forty-four".