393077376 has 96 divisors (see below), whose sum is σ = 1145027520. Its totient is φ = 129415680.

The previous prime is 393077353. The next prime is 393077389. The reversal of 393077376 is 673770393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93561 + ... + 97671.

It is an arithmetic number, because the mean of its divisors is an integer number (11927370).

Almost surely, 2^393077376 is an apocalyptic number.

393077376 is a gapful number since it is divisible by the number (36) 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 393077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572513760).

393077376 is an abundant number, since it is smaller than the sum of its proper divisors (751950144).

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

393077376 is a wasteful number, since it uses less digits than its factorization.

393077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 45.

The square root of 393077376 is about 19826.1790569943. The cubic root of 393077376 is about 732.5310130649.

The spelling of 393077376 in words is "three hundred ninety-three million, seventy-seven thousand, three hundred seventy-six".