1464390144 has 320 divisors, whose sum is σ = 5100268800. Its totient is φ = 406093824.

The previous prime is 1464390131. The next prime is 1464390157. The reversal of 1464390144 is 4410934641.

It is a happy number.

1464390144 is a `hidden beast` number, since 1 + 4 + 643 + 9 + 0 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1464390131) and next prime (1464390157).

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 = 1464390099 and 1464390108.

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 31 ways as a sum of consecutive naturals, for example, 3580212 + ... + 3580620.

It is an arithmetic number, because the mean of its divisors is an integer number (15938340).

Almost surely, 2^1464390144 is an apocalyptic number.

1464390144 is a gapful number since it is divisible by the number (14) 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 1464390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550134400).

1464390144 is an abundant number, since it is smaller than the sum of its proper divisors (3635878656).

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

1464390144 is an equidigital number, since it uses as much as digits as its factorization.

1464390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1464390144 is about 38267.3508881919. The cubic root of 1464390144 is about 1135.5831307834.

The spelling of 1464390144 in words is "one billion, four hundred sixty-four million, three hundred ninety thousand, one hundred forty-four".