1464014240 has 96 divisors (see below), whose sum is σ = 3734352720. Its totient is φ = 539172864.

The previous prime is 1464014231. The next prime is 1464014243. The reversal of 1464014240 is 424104641.

It can be written as a sum of positive squares in 8 ways, for example, as 299566864 + 1164447376 = 17308^2 + 34124^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1464014243) 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, 1182902 + ... + 1184138.

Almost surely, 2^1464014240 is an apocalyptic number.

1464014240 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 1464014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867176360).

1464014240 is an abundant number, since it is smaller than the sum of its proper divisors (2270338480).

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

1464014240 is a wasteful number, since it uses less digits than its factorization.

1464014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1464014240 is about 38262.4390231464. The cubic root of 1464014240 is about 1135.4859556844.

Adding to 1464014240 its reverse (424104641), we get a palindrome (1888118881).

The spelling of 1464014240 in words is "one billion, four hundred sixty-four million, fourteen thousand, two hundred forty".