393277248 has 448 divisors, whose sum is σ = 1481571840. Its totient is φ = 99532800.

The previous prime is 393277243. The next prime is 393277249. The reversal of 393277248 is 842772393.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393277243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6447138 + ... + 6447198.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^393277248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740785920).

393277248 is an abundant number, since it is smaller than the sum of its proper divisors (1088294592).

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

393277248 is a wasteful number, since it uses less digits than its factorization.

393277248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 393277248 is about 19831.2190245582. The cubic root of 393277248 is about 732.6551511597.

The spelling of 393277248 in words is "three hundred ninety-three million, two hundred seventy-seven thousand, two hundred forty-eight".