1464768480 has 192 divisors, whose sum is σ = 5298628608. Its totient is φ = 333189120.

The previous prime is 1464768451. The next prime is 1464768491. The reversal of 1464768480 is 848674641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781945 + ... + 783815.

It is an arithmetic number, because the mean of its divisors is an integer number (27597024).

Almost surely, 2^1464768480 is an apocalyptic number.

1464768480 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 1464768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649314304).

1464768480 is an abundant number, since it is smaller than the sum of its proper divisors (3833860128).

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

1464768480 is a wasteful number, since it uses less digits than its factorization.

1464768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 1464768480 is about 38272.2938951926. The cubic root of 1464768480 is about 1135.6809177898.

The spelling of 1464768480 in words is "one billion, four hundred sixty-four million, seven hundred sixty-eight thousand, four hundred eighty".