1346400 has 216 divisors, whose sum is σ = 5484024. Its totient is φ = 307200.

The previous prime is 1346377. The next prime is 1346419. The reversal of 1346400 is 46431.

It is a super-3 number, since 3×1346400³ = 7322233324032000000, which contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79192 + ... + 79208.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2^1346400 is an apocalyptic number.

1346400 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 1346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742012).

1346400 is an abundant number, since it is smaller than the sum of its proper divisors (4137624).

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

1346400 is a wasteful number, since it uses less digits than its factorization.

1346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1346400 is about 1160.3447763488. The cubic root of 1346400 is about 110.4226166645.

The spelling of 1346400 in words is "one million, three hundred forty-six thousand, four hundred".