1455455456 has 192 divisors, whose sum is σ = 3804143616. Its totient is φ = 532224000.

The previous prime is 1455455447. The next prime is 1455455467. The reversal of 1455455456 is 6545545541.

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, 2075906 + ... + 2076606.

It is an arithmetic number, because the mean of its divisors is an integer number (19813248).

Almost surely, 2^1455455456 is an apocalyptic number.

1455455456 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 1455455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902071808).

1455455456 is an abundant number, since it is smaller than the sum of its proper divisors (2348688160).

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

1455455456 is a wasteful number, since it uses less digits than its factorization.

1455455456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 44.

The square root of 1455455456 is about 38150.4319241604. The cubic root of 1455455456 is about 1133.2689055262.

The spelling of 1455455456 in words is "one billion, four hundred fifty-five million, four hundred fifty-five thousand, four hundred fifty-six".