92400 has 120 divisors (see below), whose sum is σ = 369024. Its totient is φ = 19200.

The previous prime is 92399. The next prime is 92401. The reversal of 92400 is 429.

It is an interprime number because it is at equal distance from previous prime (92399) and next prime (92401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 92400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8395 + ... + 8405.

2⁹²⁴⁰⁰ 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 92400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512).

92400 is an abundant number, since it is smaller than the sum of its proper divisors (276624).

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

92400 is a wasteful number, since it uses less digits than its factorization.

92400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92400 is about 303.9736830714. The cubic root of 92400 is about 45.2089052337.

Adding to 92400 its reverse (429), we get a palindrome (92829).

The spelling of 92400 in words is "ninety-two thousand, four hundred".