1353940224 has 144 divisors (see below), whose sum is σ = 4435251072. Its totient is φ = 357064704.

The previous prime is 1353940213. The next prime is 1353940243. The reversal of 1353940224 is 4220493531.

It is a congruent number.

It is an unprimeable number.

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, 60202 + ... + 79574.

Almost surely, 2^1353940224 is an apocalyptic number.

1353940224 is a gapful number since it is divisible by the number (14) 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 1353940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217625536).

1353940224 is an abundant number, since it is smaller than the sum of its proper divisors (3081310848).

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

1353940224 is a wasteful number, since it uses less digits than its factorization.

1353940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19412 (or 19398 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1353940224 is about 36795.9267310935. The cubic root of 1353940224 is about 1106.2836577202.

The spelling of 1353940224 in words is "one billion, three hundred fifty-three million, nine hundred forty thousand, two hundred twenty-four".