1332753240 has 384 divisors, whose sum is σ = 5124833280. Its totient is φ = 269982720.

The previous prime is 1332753181. The next prime is 1332753281. The reversal of 1332753240 is 423572331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1332753198 and 1332753207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10494057 + ... + 10494183.

It is an arithmetic number, because the mean of its divisors is an integer number (13345920).

Almost surely, 2^1332753240 is an apocalyptic number.

1332753240 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 1332753240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562416640).

1332753240 is an abundant number, since it is smaller than the sum of its proper divisors (3792080040).

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

1332753240 is a wasteful number, since it uses less digits than its factorization.

1332753240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 1332753240 is about 36506.8930477520. The cubic root of 1332753240 is about 1100.4827743121.

The spelling of 1332753240 in words is "one billion, three hundred thirty-two million, seven hundred fifty-three thousand, two hundred forty".