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385491960 = 23345723739
BaseRepresentation
bin10110111110100…
…010001111111000
3222212101000120000
4112332202033320
51242141220320
6102130233000
712360425160
oct2676421770
9885330500
10385491960
111886668a7
12a9125760
1361b31b69
14392a95a0
1523c99c90
hex16fa23f8

385491960 has 320 divisors, whose sum is σ = 1547251200. Its totient is φ = 84167424.

The previous prime is 385491919. The next prime is 385491961. The reversal of 385491960 is 69194583.

It is a happy number.

385491960 is a `hidden beast` number, since 38 + 549 + 19 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385491961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521271 + ... + 522009.

It is an arithmetic number, because the mean of its divisors is an integer number (4835160).

Almost surely, 2385491960 is an apocalyptic number.

385491960 is a gapful number since it is divisible by the number (30) 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 385491960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773625600).

385491960 is an abundant number, since it is smaller than the sum of its proper divisors (1161759240).

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

385491960 is a wasteful number, since it uses less digits than its factorization.

385491960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 385491960 is about 19633.9491697417. The cubic root of 385491960 is about 727.7883647993.

The spelling of 385491960 in words is "three hundred eighty-five million, four hundred ninety-one thousand, nine hundred sixty".