385661952 has 352 divisors, whose sum is σ = 1306804800. Its totient is φ = 111476736.

The previous prime is 385661933. The next prime is 385661971. The reversal of 385661952 is 259166583.

385661952 is a `hidden beast` number, since 38 + 566 + 1 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (385661933) and next prime (385661971).

Its product of digits (388800) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 385661898 and 385661907.

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, 10423278 + ... + 10423314.

Almost surely, 2^385661952 is an apocalyptic number.

385661952 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 385661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653402400).

385661952 is an abundant number, since it is smaller than the sum of its proper divisors (921142848).

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

385661952 is a wasteful number, since it uses less digits than its factorization.

385661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 385661952 is about 19638.2777248923. The cubic root of 385661952 is about 727.8953277034.

The spelling of 385661952 in words is "three hundred eighty-five million, six hundred sixty-one thousand, nine hundred fifty-two".