920242800 has 180 divisors, whose sum is σ = 3224693160. Its totient is φ = 243002880.

The previous prime is 920242787. The next prime is 920242801. The reversal of 920242800 is 8242029.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920242801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384006 + ... + 386394.

It is an arithmetic number, because the mean of its divisors is an integer number (17914962).

Almost surely, 2^920242800 is an apocalyptic number.

920242800 is a gapful number since it is divisible by the number (90) 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 920242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612346580).

920242800 is an abundant number, since it is smaller than the sum of its proper divisors (2304450360).

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

920242800 is a wasteful number, since it uses less digits than its factorization.

920242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 920242800 is about 30335.5039516406. The cubic root of 920242800 is about 972.6743783189.

Adding to 920242800 its reverse (8242029), we get a palindrome (928484829).

The spelling of 920242800 in words is "nine hundred twenty million, two hundred forty-two thousand, eight hundred".