920402400 has 288 divisors, whose sum is σ = 3149798400. Its totient is φ = 233164800.

The previous prime is 920402359. The next prime is 920402407. The reversal of 920402400 is 4204029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920402407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6621531 + ... + 6621669.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^920402400 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 920402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

920402400 is an abundant number, since it is smaller than the sum of its proper divisors (2229396000).

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

920402400 is a wasteful number, since it uses less digits than its factorization.

920402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 920402400 is about 30338.1344185828. The cubic root of 920402400 is about 972.7306061815.

Adding to 920402400 its reverse (4204029), we get a palindrome (924606429).

The spelling of 920402400 in words is "nine hundred twenty million, four hundred two thousand, four hundred".