1253432320 has 176 divisors, whose sum is σ = 3524246208. Its totient is φ = 418775040.

The previous prime is 1253432309. The next prime is 1253432329. The reversal of 1253432320 is 232343521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253432329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1469014 + ... + 1469866.

Almost surely, 2^1253432320 is an apocalyptic number.

1253432320 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 1253432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762123104).

1253432320 is an abundant number, since it is smaller than the sum of its proper divisors (2270813888).

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

1253432320 is an equidigital number, since it uses as much as digits as its factorization.

1253432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1253432320 is about 35403.8461187482. The cubic root of 1253432320 is about 1078.2024051909.

Adding to 1253432320 its reverse (232343521), we get a palindrome (1485775841).

The spelling of 1253432320 in words is "one billion, two hundred fifty-three million, four hundred thirty-two thousand, three hundred twenty".