1353858240 has 336 divisors, whose sum is σ = 5297558112. Its totient is φ = 291078144.

The previous prime is 1353858239. The next prime is 1353858241. The reversal of 1353858240 is 428583531.

It is an interprime number because it is at equal distance from previous prime (1353858239) and next prime (1353858241).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1353858241) 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, 798834 + ... + 800526.

It is an arithmetic number, because the mean of its divisors is an integer number (15766542).

Almost surely, 2^1353858240 is an apocalyptic number.

1353858240 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 1353858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648779056).

1353858240 is an abundant number, since it is smaller than the sum of its proper divisors (3943699872).

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

1353858240 is a wasteful number, since it uses less digits than its factorization.

1353858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1353858240 is about 36794.8126778762. The cubic root of 1353858240 is about 1106.2613279826.

The spelling of 1353858240 in words is "one billion, three hundred fifty-three million, eight hundred fifty-eight thousand, two hundred forty".