1254328320 has 384 divisors, whose sum is σ = 4843238400. Its totient is φ = 270729216.

The previous prime is 1254328279. The next prime is 1254328321. The reversal of 1254328320 is 238234521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254328321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085607 + ... + 4085913.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^1254328320 is an apocalyptic number.

1254328320 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 1254328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

1254328320 is an abundant number, since it is smaller than the sum of its proper divisors (3588910080).

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

1254328320 is a wasteful number, since it uses less digits than its factorization.

1254328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1254328320 is about 35416.4978505781. The cubic root of 1254328320 is about 1078.4592570467.

The spelling of 1254328320 in words is "one billion, two hundred fifty-four million, three hundred twenty-eight thousand, three hundred twenty".