1464320000 has 300 divisors, whose sum is σ = 4299292536. Its totient is φ = 491520000.

The previous prime is 1464319993. The next prime is 1464320017. The reversal of 1464320000 is 234641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 112639994 + ... + 112640006.

Almost surely, 2^1464320000 is an apocalyptic number.

1464320000 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 1464320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149646268).

1464320000 is an abundant number, since it is smaller than the sum of its proper divisors (2834972536).

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

1464320000 is an frugal number, since it uses more digits than its factorization.

1464320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1464320000 is about 38266.4343779245. The cubic root of 1464320000 is about 1135.5649990910.

Adding to 1464320000 its reverse (234641), we get a palindrome (1464554641).

It can be divided in two parts, 14643 and 20000, that added together give a palindrome (34643).

The spelling of 1464320000 in words is "one billion, four hundred sixty-four million, three hundred twenty thousand".