1464013440 has 320 divisors, whose sum is σ = 5402833920. Its totient is φ = 377395200.

The previous prime is 1464013427. The next prime is 1464013459. The reversal of 1464013440 is 443104641.

1464013440 is a `hidden beast` number, since 1 + 4 + 640 + 13 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606585 + ... + 1607495.

It is an arithmetic number, because the mean of its divisors is an integer number (16883856).

Almost surely, 2^1464013440 is an apocalyptic number.

1464013440 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 1464013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701416960).

1464013440 is an abundant number, since it is smaller than the sum of its proper divisors (3938820480).

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

1464013440 is an equidigital number, since it uses as much as digits as its factorization.

1464013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1464013440 is about 38262.4285690284. The cubic root of 1464013440 is about 1135.4857488583.

The spelling of 1464013440 in words is "one billion, four hundred sixty-four million, thirteen thousand, four hundred forty".