1205505456 has 40 divisors (see below), whose sum is σ = 3129008064. Its totient is φ = 399927360.

The previous prime is 1205505451. The next prime is 1205505461. The reversal of 1205505456 is 6545055021.

1205505456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1205505451) and next prime (1205505461).

It is not an unprimeable number, because it can be changed into a prime (1205505451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49386 + ... + 69641.

Almost surely, 2^1205505456 is an apocalyptic number.

1205505456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1205505456 is an abundant number, since it is smaller than the sum of its proper divisors (1923502608).

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

1205505456 is a wasteful number, since it uses less digits than its factorization.

1205505456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119249 (or 119243 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 1205505456 is about 34720.3896291502. The cubic root of 1205505456 is about 1064.2812068832.

The spelling of 1205505456 in words is "one billion, two hundred five million, five hundred five thousand, four hundred fifty-six".