920400 has 120 divisors (see below), whose sum is σ = 3228960. Its totient is φ = 222720.

The previous prime is 920399. The next prime is 920407. The reversal of 920400 is 4029.

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 920400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920407) 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, 15571 + ... + 15629.

It is an arithmetic number, because the mean of its divisors is an integer number (26908).

2⁹²⁰⁴⁰⁰ 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 920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614480).

920400 is an abundant number, since it is smaller than the sum of its proper divisors (2308560).

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

920400 is a wasteful number, since it uses less digits than its factorization.

920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

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

The square root of 920400 is about 959.3747964169. The cubic root of 920400 is about 97.2729760698.

Adding to 920400 its reverse (4029), we get a palindrome (924429).

The spelling of 920400 in words is "nine hundred twenty thousand, four hundred".