1242328320 has 288 divisors, whose sum is σ = 4464096000. Its totient is φ = 327131136.

The previous prime is 1242328289. The next prime is 1242328337. The reversal of 1242328320 is 238232421.

1242328320 is a `hidden beast` number, since 12 + 4 + 2 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559506 + ... + 3559854.

Almost surely, 2^1242328320 is an apocalyptic number.

1242328320 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 1242328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232048000).

1242328320 is an abundant number, since it is smaller than the sum of its proper divisors (3221767680).

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

1242328320 is a wasteful number, since it uses less digits than its factorization.

1242328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1242328320 is about 35246.6781413511. The cubic root of 1242328320 is about 1075.0090700515.

The spelling of 1242328320 in words is "one billion, two hundred forty-two million, three hundred twenty-eight thousand, three hundred twenty".