1398400 has 96 divisors (see below), whose sum is σ = 3794400. Its totient is φ = 506880.

The previous prime is 1398367. The next prime is 1398401. The reversal of 1398400 is 48931.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (1398401) 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, 60789 + ... + 60811.

It is an arithmetic number, because the mean of its divisors is an integer number (39525).

2^1398400 is an apocalyptic number.

1398400 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 1398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897200).

1398400 is an abundant number, since it is smaller than the sum of its proper divisors (2396000).

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

1398400 is a wasteful number, since it uses less digits than its factorization.

1398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1398400 is about 1182.5396399276. The cubic root of 1398400 is about 111.8262612413.

It can be divided in two parts, 13 and 98400, that multiplied together give a triangular number (1279200 = T₁₅₉₉).

The spelling of 1398400 in words is "one million, three hundred ninety-eight thousand, four hundred".