1455632256 has 256 divisors, whose sum is σ = 4455360000. Its totient is φ = 417374208.

The previous prime is 1455632239. The next prime is 1455632263. The reversal of 1455632256 is 6522365541.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 9769270 + ... + 9769418.

It is an arithmetic number, because the mean of its divisors is an integer number (17403750).

Almost surely, 2^1455632256 is an apocalyptic number.

1455632256 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 1455632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227680000).

1455632256 is an abundant number, since it is smaller than the sum of its proper divisors (2999727744).

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

1455632256 is a wasteful number, since it uses less digits than its factorization.

1455632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 1455632256 is about 38152.7489966319. The cubic root of 1455632256 is about 1133.3147912384.

Adding to 1455632256 its reverse (6522365541), we get a palindrome (7977997797).

The spelling of 1455632256 in words is "one billion, four hundred fifty-five million, six hundred thirty-two thousand, two hundred fifty-six".