1465239040 has 160 divisors (see below), whose sum is σ = 3645972000. Its totient is φ = 564461568.

The previous prime is 1465239023. The next prime is 1465239043. The reversal of 1465239040 is 409325641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1465238987 and 1465239005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1465239043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13442506 + ... + 13442614.

It is an arithmetic number, because the mean of its divisors is an integer number (22787325).

Almost surely, 2^1465239040 is an apocalyptic number.

1465239040 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 1465239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822986000).

1465239040 is an abundant number, since it is smaller than the sum of its proper divisors (2180732960).

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

1465239040 is an equidigital number, since it uses as much as digits as its factorization.

1465239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1465239040 is about 38278.4409295886. The cubic root of 1465239040 is about 1135.8025180754.

The spelling of 1465239040 in words is "one billion, four hundred sixty-five million, two hundred thirty-nine thousand, forty".