1456132412 has 96 divisors (see below), whose sum is σ = 3170496000. Its totient is φ = 583220736.

The previous prime is 1456132367. The next prime is 1456132421. The reversal of 1456132412 is 2142316541.

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, 2163308 + ... + 2163980.

It is an arithmetic number, because the mean of its divisors is an integer number (33026000).

Almost surely, 2^1456132412 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 1456132412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585248000).

1456132412 is an abundant number, since it is smaller than the sum of its proper divisors (1714363588).

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

1456132412 is a wasteful number, since it uses less digits than its factorization.

1456132412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 1456132412 is about 38159.3030858793. The cubic root of 1456132412 is about 1133.4445788916. Note that the first 3 decimals are identical.

Adding to 1456132412 its reverse (2142316541), we get a palindrome (3598448953).

The spelling of 1456132412 in words is "one billion, four hundred fifty-six million, one hundred thirty-two thousand, four hundred twelve".