383714000 has 80 divisors (see below), whose sum is σ = 934025040. Its totient is φ = 152460800.

The previous prime is 383713963. The next prime is 383714017. The reversal of 383714000 is 417383.

It can be written as a sum of positive squares in 8 ways, for example, as 157151296 + 226562704 = 12536^2 + 15052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345446 + ... + 346554.

It is an arithmetic number, because the mean of its divisors is an integer number (11675313).

Almost surely, 2^383714000 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 383714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467012520).

383714000 is an abundant number, since it is smaller than the sum of its proper divisors (550311040).

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

383714000 is a wasteful number, since it uses less digits than its factorization.

383714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 383714000 is about 19588.6191447994. The cubic root of 383714000 is about 726.6677421451.

The spelling of 383714000 in words is "three hundred eighty-three million, seven hundred fourteen thousand".