382697952 has 192 divisors, whose sum is σ = 1255855104. Its totient is φ = 99348480.

The previous prime is 382697941. The next prime is 382697969. The reversal of 382697952 is 259796283.

It is a junction number, because it is equal to n+sod(n) for n = 382697895 and 382697904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619948 + ... + 620564.

It is an arithmetic number, because the mean of its divisors is an integer number (6540912).

Almost surely, 2^382697952 is an apocalyptic number.

382697952 is a gapful number since it is divisible by the number (32) 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 382697952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627927552).

382697952 is an abundant number, since it is smaller than the sum of its proper divisors (873157152).

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

382697952 is a wasteful number, since it uses less digits than its factorization.

382697952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 382697952 is about 19562.6673027990. The cubic root of 382697952 is about 726.0257866365.

The spelling of 382697952 in words is "three hundred eighty-two million, six hundred ninety-seven thousand, nine hundred fifty-two".