938400 has 144 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 225280.

The previous prime is 938393. The next prime is 938437. The reversal of 938400 is 4839.

938400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40789 + ... + 40811.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁹³⁸⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

938400 is an abundant number, since it is smaller than the sum of its proper divisors (2436384).

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

938400 is a wasteful number, since it uses less digits than its factorization.

938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 938400 is about 968.7104830650. The cubic root of 938400 is about 97.9029999536.

The spelling of 938400 in words is "nine hundred thirty-eight thousand, four hundred".