1464345792 has 378 divisors, whose sum is σ = 5304246948. Its totient is φ = 384943104.

The previous prime is 1464345787. The next prime is 1464345811. The reversal of 1464345792 is 2975434641.

1464345792 is a `hidden beast` number, since 1 + 46 + 4 + 34 + 579 + 2 = 666.

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 53 ways as a sum of consecutive naturals, for example, 4769703 + ... + 4770009.

Almost surely, 2^1464345792 is an apocalyptic number.

1464345792 is a gapful number since it is divisible by the number (12) 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 1464345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652123474).

1464345792 is an abundant number, since it is smaller than the sum of its proper divisors (3839901156).

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

1464345792 is a wasteful number, since it uses less digits than its factorization.

1464345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 332 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1464345792 is about 38266.7713819705. The cubic root of 1464345792 is about 1135.5716661948.

The spelling of 1464345792 in words is "one billion, four hundred sixty-four million, three hundred forty-five thousand, seven hundred ninety-two".