390761448 has 256 divisors, whose sum is σ = 1327104000. Its totient is φ = 92793600.

The previous prime is 390761419. The next prime is 390761461. The reversal of 390761448 is 844167093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088293 + ... + 1088651.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^390761448 is an apocalyptic number.

390761448 is a gapful number since it is divisible by the number (38) 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 390761448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663552000).

390761448 is an abundant number, since it is smaller than the sum of its proper divisors (936342552).

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

390761448 is a wasteful number, since it uses less digits than its factorization.

390761448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 390761448 is about 19767.6869663600. The cubic root of 390761448 is about 731.0895396042.

The spelling of 390761448 in words is "three hundred ninety million, seven hundred sixty-one thousand, four hundred forty-eight".