385209552 has 160 divisors (see below), whose sum is σ = 1267418880. Its totient is φ = 98058240.

The previous prime is 385209547. The next prime is 385209563. The reversal of 385209552 is 255902583.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 385209552.

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, 125152 + ... + 128192.

It is an arithmetic number, because the mean of its divisors is an integer number (7921368).

Almost surely, 2^385209552 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 385209552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

385209552 is an abundant number, since it is smaller than the sum of its proper divisors (882209328).

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

385209552 is a wasteful number, since it uses less digits than its factorization.

385209552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 385209552 is about 19626.7560233473. The cubic root of 385209552 is about 727.6105976092.

The spelling of 385209552 in words is "three hundred eighty-five million, two hundred nine thousand, five hundred fifty-two".