1456621056 has 400 divisors, whose sum is σ = 4943397888. Its totient is φ = 423014400.

The previous prime is 1456621043. The next prime is 1456621057. The reversal of 1456621056 is 6501266541.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1456621056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456621057) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14141901 + ... + 14142003.

Almost surely, 2^1456621056 is an apocalyptic number.

1456621056 is a gapful number since it is divisible by the number (16) 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 1456621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471698944).

1456621056 is an abundant number, since it is smaller than the sum of its proper divisors (3486776832).

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

1456621056 is a wasteful number, since it uses less digits than its factorization.

1456621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1456621056 is about 38165.7052338877. The cubic root of 1456621056 is about 1133.5713505475.

Adding to 1456621056 its reverse (6501266541), we get a palindrome (7957887597).

The spelling of 1456621056 in words is "one billion, four hundred fifty-six million, six hundred twenty-one thousand, fifty-six".