9204949800 has 144 divisors (see below), whose sum is σ = 31632469440. Its totient is φ = 2397548160.

The previous prime is 9204949783. The next prime is 9204949801. The reversal of 9204949800 is 89494029.

It is a super-2 number, since 2×9204949800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9204949801) 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, 17937 + ... + 136863.

Almost surely, 2^9204949800 is an apocalyptic number.

9204949800 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 9204949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15816234720).

9204949800 is an abundant number, since it is smaller than the sum of its proper divisors (22427519640).

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

9204949800 is a wasteful number, since it uses less digits than its factorization.

9204949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118992 (or 118980 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9204949800 is about 95942.4296127631. The cubic root of 9204949800 is about 2095.7548254733.

The spelling of 9204949800 in words is "nine billion, two hundred four million, nine hundred forty-nine thousand, eight hundred".