385407792 has 120 divisors (see below), whose sum is σ = 1344794880. Its totient is φ = 100103040.

The previous prime is 385407787. The next prime is 385407823. The reversal of 385407792 is 297704583.

385407792 is a `hidden beast` number, since 38 + 540 + 7 + 79 + 2 = 666.

It is a super-2 number, since 2×385407792² = 297078332268630528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6292 + ... + 28467.

It is an arithmetic number, because the mean of its divisors is an integer number (11206624).

Almost surely, 2^385407792 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 385407792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672397440).

385407792 is an abundant number, since it is smaller than the sum of its proper divisors (959387088).

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

385407792 is a wasteful number, since it uses less digits than its factorization.

385407792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34791 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 385407792 is about 19631.8056225096. The cubic root of 385407792 is about 727.7353927045.

The spelling of 385407792 in words is "three hundred eighty-five million, four hundred seven thousand, seven hundred ninety-two".