1363400 has 48 divisors (see below), whose sum is σ = 3364740. Its totient is φ = 512000.

The previous prime is 1363393. The next prime is 1363403. The reversal of 1363400 is 43631.

1363400 = T₃₂₅ + T₃₂₆ + ... + T₃₄₈.

It can be written as a sum of positive squares in 6 ways, for example, as 1119364 + 244036 = 1058^2 + 494^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3200 + ... + 3600.

2^1363400 is an apocalyptic number.

1363400 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 1363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682370).

1363400 is an abundant number, since it is smaller than the sum of its proper divisors (2001340).

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

1363400 is a wasteful number, since it uses less digits than its factorization.

1363400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1363400 is about 1167.6472069936. The cubic root of 1363400 is about 110.8854159397.

1363400 divided by its sum of digits (17) gives a triangular number (80200 = T₄₀₀).

It can be divided in two parts, 136 and 3400, that multiplied together give a square (462400 = 680²).

The spelling of 1363400 in words is "one million, three hundred sixty-three thousand, four hundred".