385671552 has 192 divisors, whose sum is σ = 1209312000. Its totient is φ = 108573696.

The previous prime is 385671547. The next prime is 385671553. The reversal of 385671552 is 255176583.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385671553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937949 + ... + 1938147.

It is an arithmetic number, because the mean of its divisors is an integer number (6298500).

Almost surely, 2^385671552 is an apocalyptic number.

385671552 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 385671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604656000).

385671552 is an abundant number, since it is smaller than the sum of its proper divisors (823640448).

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

385671552 is a wasteful number, since it uses less digits than its factorization.

385671552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 385671552 is about 19638.5221439904. The cubic root of 385671552 is about 727.9013673080.

The spelling of 385671552 in words is "three hundred eighty-five million, six hundred seventy-one thousand, five hundred fifty-two".