384998400 has 264 divisors, whose sum is σ = 1416360240. Its totient is φ = 102481920.

The previous prime is 384998351. The next prime is 384998401. The reversal of 384998400 is 4899483.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384998401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690922 + ... + 691478.

Almost surely, 2^384998400 is an apocalyptic number.

384998400 is a gapful number since it is divisible by the number (30) 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 384998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708180120).

384998400 is an abundant number, since it is smaller than the sum of its proper divisors (1031361840).

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

384998400 is a wasteful number, since it uses less digits than its factorization.

384998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 384998400 is about 19621.3760985309. The cubic root of 384998400 is about 727.4776271151.

The spelling of 384998400 in words is "three hundred eighty-four million, nine hundred ninety-eight thousand, four hundred".