1464613920 has 1152 divisors, whose sum is σ = 7073982720. Its totient is φ = 278691840.

The previous prime is 1464613901. The next prime is 1464613921. The reversal of 1464613920 is 293164641.

1464613920 is a `hidden beast` number, since 1 + 4 + 646 + 1 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464613921) 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 191 ways as a sum of consecutive naturals, for example, 39584142 + ... + 39584178.

It is an arithmetic number, because the mean of its divisors is an integer number (6140610).

Almost surely, 2^1464613920 is an apocalyptic number.

1464613920 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 1464613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536991360).

1464613920 is an abundant number, since it is smaller than the sum of its proper divisors (5609368800).

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

1464613920 is a wasteful number, since it uses less digits than its factorization.

1464613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1464613920 is about 38270.2746266603. The cubic root of 1464613920 is about 1135.6409713138.

The spelling of 1464613920 in words is "one billion, four hundred sixty-four million, six hundred thirteen thousand, nine hundred twenty".