1355285400 has 192 divisors, whose sum is σ = 4835642880. Its totient is φ = 307584000.

The previous prime is 1355285389. The next prime is 1355285411. The reversal of 1355285400 is 45825531.

It is an interprime number because it is at equal distance from previous prime (1355285389) and next prime (1355285411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633132 + ... + 635268.

It is an arithmetic number, because the mean of its divisors is an integer number (25185640).

Almost surely, 2^1355285400 is an apocalyptic number.

1355285400 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 1355285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417821440).

1355285400 is an abundant number, since it is smaller than the sum of its proper divisors (3480357480).

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

1355285400 is a wasteful number, since it uses less digits than its factorization.

1355285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 1355285400 is about 36814.2010642632. The cubic root of 1355285400 is about 1106.6499106348.

The spelling of 1355285400 in words is "one billion, three hundred fifty-five million, two hundred eighty-five thousand, four hundred".