930398400 has 252 divisors, whose sum is σ = 3430764792. Its totient is φ = 248002560.

The previous prime is 930398393. The next prime is 930398437. The reversal of 930398400 is 4893039.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 387604 + ... + 389996.

It is an arithmetic number, because the mean of its divisors is an integer number (13614146).

Almost surely, 2^930398400 is an apocalyptic number.

930398400 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 930398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715382396).

930398400 is an abundant number, since it is smaller than the sum of its proper divisors (2500366392).

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

930398400 is a wasteful number, since it uses less digits than its factorization.

930398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 930398400 is about 30502.4326898692. The cubic root of 930398400 is about 976.2393706528.

The spelling of 930398400 in words is "nine hundred thirty million, three hundred ninety-eight thousand, four hundred".