390398400 has 336 divisors, whose sum is σ = 1627713280. Its totient is φ = 89164800.

The previous prime is 390398383. The next prime is 390398401. The reversal of 390398400 is 4893093.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390398401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301755 + ... + 303045.

Almost surely, 2^390398400 is an apocalyptic number.

390398400 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 390398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813856640).

390398400 is an abundant number, since it is smaller than the sum of its proper divisors (1237314880).

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

390398400 is a wasteful number, since it uses less digits than its factorization.

390398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

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

The square root of 390398400 is about 19758.5019675076. The cubic root of 390398400 is about 730.8630562959.

The spelling of 390398400 in words is "three hundred ninety million, three hundred ninety-eight thousand, four hundred".