1898400 has 144 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 430080.

The previous prime is 1898389. The next prime is 1898417. The reversal of 1898400 is 48981.

1898400 = T₁ + T₂ + ... + T₂₂₄.

It is a happy number.

1898400 is a nontrivial binomial coefficient, being equal to C(226, 3).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is the 224-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16744 + ... + 16856.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2^1898400 is an apocalyptic number.

1898400 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 1898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

1898400 is an abundant number, since it is smaller than the sum of its proper divisors (5226144).

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

1898400 is a wasteful number, since it uses less digits than its factorization.

1898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1898400 is about 1377.8243719720. The cubic root of 1898400 is about 123.8214565375.

It can be divided in two parts, 189 and 8400, that multiplied together give a square (1587600 = 1260²).

The spelling of 1898400 in words is "one million, eight hundred ninety-eight thousand, four hundred".