1455854880 has 192 divisors, whose sum is σ = 4732318080. Its totient is φ = 376037376.

The previous prime is 1455854867. The next prime is 1455854893. The reversal of 1455854880 is 884585541.

It is an interprime number because it is at equal distance from previous prime (1455854867) and next prime (1455854893).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263839 + ... + 2264481.

It is an arithmetic number, because the mean of its divisors is an integer number (24647490).

Almost surely, 2^1455854880 is an apocalyptic number.

1455854880 is a gapful number since it is divisible by the number (10) 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 1455854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366159040).

1455854880 is an abundant number, since it is smaller than the sum of its proper divisors (3276463200).

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

1455854880 is a wasteful number, since it uses less digits than its factorization.

1455854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 48.

The square root of 1455854880 is about 38155.6664205987. Note that the first 3 decimals coincide. The cubic root of 1455854880 is about 1133.3725645781.

The spelling of 1455854880 in words is "one billion, four hundred fifty-five million, eight hundred fifty-four thousand, eight hundred eighty".