398792900 has 72 divisors (see below), whose sum is σ = 993790560. Its totient is φ = 137376000.

The previous prime is 398792893. The next prime is 398792909. The reversal of 398792900 is 9297893.

It is not an unprimeable number, because it can be changed into a prime (398792909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11360 + ... + 30440.

Almost surely, 2^398792900 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 398792900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496895280).

398792900 is an abundant number, since it is smaller than the sum of its proper divisors (594997660).

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

398792900 is a wasteful number, since it uses less digits than its factorization.

398792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19125 (or 19118 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 398792900 is about 19969.7996985448. The cubic root of 398792900 is about 736.0643871877.

The spelling of 398792900 in words is "three hundred ninety-eight million, seven hundred ninety-two thousand, nine hundred".