1254424320 has 432 divisors, whose sum is σ = 4664980320. Its totient is φ = 322486272.

The previous prime is 1254424307. The next prime is 1254424321. The reversal of 1254424320 is 234244521.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254424321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11508426 + ... + 11508534.

Almost surely, 2^1254424320 is an apocalyptic number.

1254424320 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 1254424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332490160).

1254424320 is an abundant number, since it is smaller than the sum of its proper divisors (3410556000).

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

1254424320 is an equidigital number, since it uses as much as digits as its factorization.

1254424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1254424320 is about 35417.8531252249. The cubic root of 1254424320 is about 1078.4867696327.

Adding to 1254424320 its reverse (234244521), we get a palindrome (1488668841).

It can be divided in two parts, 12544 and 24320, that added together give a square (36864 = 192²).

The spelling of 1254424320 in words is "one billion, two hundred fifty-four million, four hundred twenty-four thousand, three hundred twenty".