1464055272 has 24 divisors (see below), whose sum is σ = 3965149890. Its totient is φ = 488018400.

The previous prime is 1464055253. The next prime is 1464055291. The reversal of 1464055272 is 2725504641.

It is a happy number.

1464055272 is a `hidden beast` number, since 1 + 4 + 640 + 5 + 5 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1464055253) and next prime (1464055291).

It can be written as a sum of positive squares in only one way, i.e., 1193978916 + 270076356 = 34554^2 + 16434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 10166979 + ... + 10167122.

Almost surely, 2^1464055272 is an apocalyptic number.

1464055272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1464055272 is an abundant number, since it is smaller than the sum of its proper divisors (2501094618).

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

1464055272 is a wasteful number, since it uses less digits than its factorization.

1464055272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20334113 (or 20334106 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1464055272 is about 38262.9752110314. The cubic root of 1464055272 is about 1135.4965636924.

The spelling of 1464055272 in words is "one billion, four hundred sixty-four million, fifty-five thousand, two hundred seventy-two".