390814800 has 240 divisors, whose sum is σ = 1344169920. Its totient is φ = 96768000.

The previous prime is 390814769. The next prime is 390814807. The reversal of 390814800 is 8418093.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390814807) 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, 1390660 + ... + 1390940.

It is an arithmetic number, because the mean of its divisors is an integer number (5600708).

Almost surely, 2^390814800 is an apocalyptic number.

390814800 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 390814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084960).

390814800 is an abundant number, since it is smaller than the sum of its proper divisors (953355120).

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

390814800 is a wasteful number, since it uses less digits than its factorization.

390814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 390814800 is about 19769.0363953330. The cubic root of 390814800 is about 731.1228108103.

The spelling of 390814800 in words is "three hundred ninety million, eight hundred fourteen thousand, eight hundred".