1355400 has 96 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 360000.

The previous prime is 1355399. The next prime is 1355401. The reversal of 1355400 is 45531.

It is an interprime number because it is at equal distance from previous prime (1355399) and next prime (1355401).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1355401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5275 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2^1355400 is an apocalyptic number.

1355400 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 1355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1355400 is an abundant number, since it is smaller than the sum of its proper divisors (3331800).

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

1355400 is a wasteful number, since it uses less digits than its factorization.

1355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1355400 is about 1164.2164747159. The cubic root of 1355400 is about 110.6681101729.

It can be divided in two parts, 135 and 5400, that multiplied together give a cube (729000 = 90³).

The spelling of 1355400 in words is "one million, three hundred fifty-five thousand, four hundred".