1464107876 has 72 divisors (see below), whose sum is σ = 3230609088. Its totient is φ = 564033600.

The previous prime is 1464107873. The next prime is 1464107917. The reversal of 1464107876 is 6787014641.

It is a super-2 number, since 2×1464107876² = 4287223745130462752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1464107873) 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 23 ways as a sum of consecutive naturals, for example, 5285450 + ... + 5285726.

Almost surely, 2^1464107876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464107876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615304544).

1464107876 is an abundant number, since it is smaller than the sum of its proper divisors (1766501212).

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

1464107876 is a wasteful number, since it uses less digits than its factorization.

1464107876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 1464107876 is about 38263.6626056628. The cubic root of 1464107876 is about 1135.5101631211.

The spelling of 1464107876 in words is "one billion, four hundred sixty-four million, one hundred seven thousand, eight hundred seventy-six".