1464467472 has 160 divisors (see below), whose sum is σ = 4556652800. Its totient is φ = 450313344.

The previous prime is 1464467447. The next prime is 1464467483. The reversal of 1464467472 is 2747644641.

It is a happy number.

1464467472 is a `hidden beast` number, since 146 + 4 + 467 + 47 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948333 + ... + 949875.

It is an arithmetic number, because the mean of its divisors is an integer number (28479080).

Almost surely, 2^1464467472 is an apocalyptic number.

1464467472 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 1464467472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278326400).

1464467472 is an abundant number, since it is smaller than the sum of its proper divisors (3092185328).

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

1464467472 is a wasteful number, since it uses less digits than its factorization.

1464467472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1561 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 1464467472 is about 38268.3612400636. The cubic root of 1464467472 is about 1135.6031188144.

The spelling of 1464467472 in words is "one billion, four hundred sixty-four million, four hundred sixty-seven thousand, four hundred seventy-two".