1253823456 has 48 divisors (see below), whose sum is σ = 3328290000. Its totient is φ = 413242368.

The previous prime is 1253823451. The next prime is 1253823469. The reversal of 1253823456 is 6543283521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253823451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64831 + ... + 81918.

It is an arithmetic number, because the mean of its divisors is an integer number (69339375).

Almost surely, 2^1253823456 is an apocalyptic number.

1253823456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253823456 is an abundant number, since it is smaller than the sum of its proper divisors (2074466544).

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

1253823456 is a wasteful number, since it uses less digits than its factorization.

1253823456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146851 (or 146843 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 1253823456 is about 35409.3696074923. The cubic root of 1253823456 is about 1078.3145452483.

The spelling of 1253823456 in words is "one billion, two hundred fifty-three million, eight hundred twenty-three thousand, four hundred fifty-six".